Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(52,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.u (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 52.18 | ||
Character | \(\chi\) | \(=\) | 731.52 |
Dual form | 731.2.u.b.239.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.429469 | + | 0.538537i | 0.303680 | + | 0.380803i | 0.910133 | − | 0.414317i | \(-0.135979\pi\) |
−0.606452 | + | 0.795120i | \(0.707408\pi\) | |||||||
\(3\) | −2.21655 | − | 0.334092i | −1.27973 | − | 0.192888i | −0.526232 | − | 0.850341i | \(-0.676396\pi\) |
−0.753495 | + | 0.657453i | \(0.771634\pi\) | |||||||
\(4\) | 0.339463 | − | 1.48729i | 0.169732 | − | 0.743643i | ||||
\(5\) | 2.91429 | + | 1.98693i | 1.30331 | + | 0.888582i | 0.997971 | − | 0.0636624i | \(-0.0202781\pi\) |
0.305338 | + | 0.952244i | \(0.401230\pi\) | |||||||
\(6\) | −0.772020 | − | 1.33718i | −0.315176 | − | 0.545901i | ||||
\(7\) | 1.74515 | − | 3.02268i | 0.659603 | − | 1.14247i | −0.321115 | − | 0.947040i | \(-0.604058\pi\) |
0.980718 | − | 0.195426i | \(-0.0626090\pi\) | |||||||
\(8\) | 2.18795 | − | 1.05366i | 0.773557 | − | 0.372525i | ||||
\(9\) | 1.93477 | + | 0.596798i | 0.644924 | + | 0.198933i | ||||
\(10\) | 0.181562 | + | 2.42278i | 0.0574150 | + | 0.766149i | ||||
\(11\) | −0.929353 | − | 4.07176i | −0.280210 | − | 1.22768i | −0.897524 | − | 0.440965i | \(-0.854636\pi\) |
0.617314 | − | 0.786717i | \(-0.288221\pi\) | |||||||
\(12\) | −1.24933 | + | 3.18324i | −0.360650 | + | 0.918921i | ||||
\(13\) | −0.113114 | + | 1.50940i | −0.0313722 | + | 0.418633i | 0.959302 | + | 0.282382i | \(0.0911245\pi\) |
−0.990674 | + | 0.136251i | \(0.956495\pi\) | |||||||
\(14\) | 2.37731 | − | 0.358322i | 0.635363 | − | 0.0957656i | ||||
\(15\) | −5.79586 | − | 5.37777i | −1.49648 | − | 1.38854i | ||||
\(16\) | −1.24183 | − | 0.598032i | −0.310457 | − | 0.149508i | ||||
\(17\) | −0.826239 | + | 0.563320i | −0.200392 | + | 0.136625i | ||||
\(18\) | 0.509527 | + | 1.29825i | 0.120097 | + | 0.306001i | ||||
\(19\) | −3.49066 | + | 1.07673i | −0.800813 | + | 0.247018i | −0.668037 | − | 0.744128i | \(-0.732865\pi\) |
−0.132776 | + | 0.991146i | \(0.542389\pi\) | |||||||
\(20\) | 3.94443 | − | 3.65989i | 0.882000 | − | 0.818377i | ||||
\(21\) | −4.87806 | + | 6.11690i | −1.06448 | + | 1.33482i | ||||
\(22\) | 1.79367 | − | 2.24919i | 0.382411 | − | 0.479528i | ||||
\(23\) | 0.911615 | − | 0.845855i | 0.190085 | − | 0.176373i | −0.579389 | − | 0.815051i | \(-0.696709\pi\) |
0.769474 | + | 0.638678i | \(0.220518\pi\) | |||||||
\(24\) | −5.20172 | + | 1.60452i | −1.06180 | + | 0.327521i | ||||
\(25\) | 2.71849 | + | 6.92660i | 0.543698 | + | 1.38532i | ||||
\(26\) | −0.861449 | + | 0.587326i | −0.168944 | + | 0.115184i | ||||
\(27\) | 1.96967 | + | 0.948542i | 0.379063 | + | 0.182547i | ||||
\(28\) | −3.90318 | − | 3.62162i | −0.737632 | − | 0.684422i | ||||
\(29\) | 0.473046 | − | 0.0713001i | 0.0878424 | − | 0.0132401i | −0.104974 | − | 0.994475i | \(-0.533476\pi\) |
0.192816 | + | 0.981235i | \(0.438238\pi\) | |||||||
\(30\) | 0.406988 | − | 5.43087i | 0.0743054 | − | 0.991537i | ||||
\(31\) | 1.59191 | − | 4.05613i | 0.285916 | − | 0.728502i | −0.713691 | − | 0.700461i | \(-0.752978\pi\) |
0.999607 | − | 0.0280412i | \(-0.00892696\pi\) | |||||||
\(32\) | −1.29202 | − | 5.66071i | −0.228399 | − | 1.00068i | ||||
\(33\) | 0.699619 | + | 9.33577i | 0.121788 | + | 1.62515i | ||||
\(34\) | −0.658213 | − | 0.203032i | −0.112883 | − | 0.0348197i | ||||
\(35\) | 11.0917 | − | 5.34149i | 1.87484 | − | 0.902876i | ||||
\(36\) | 1.54439 | − | 2.67497i | 0.257399 | − | 0.445828i | ||||
\(37\) | −0.341336 | − | 0.591211i | −0.0561153 | − | 0.0971945i | 0.836603 | − | 0.547809i | \(-0.184538\pi\) |
−0.892718 | + | 0.450615i | \(0.851205\pi\) | |||||||
\(38\) | −2.07899 | − | 1.41743i | −0.337257 | − | 0.229938i | ||||
\(39\) | 0.755003 | − | 3.30788i | 0.120897 | − | 0.529685i | ||||
\(40\) | 8.46986 | + | 1.27663i | 1.33920 | + | 0.201852i | ||||
\(41\) | −3.01062 | − | 3.77520i | −0.470179 | − | 0.589586i | 0.489036 | − | 0.872264i | \(-0.337349\pi\) |
−0.959215 | + | 0.282677i | \(0.908777\pi\) | |||||||
\(42\) | −5.38915 | −0.831564 | ||||||||
\(43\) | 1.97189 | − | 6.25393i | 0.300710 | − | 0.953716i | ||||
\(44\) | −6.37135 | −0.960518 | ||||||||
\(45\) | 4.45269 | + | 5.58350i | 0.663768 | + | 0.832339i | ||||
\(46\) | 0.847035 | + | 0.127670i | 0.124888 | + | 0.0188239i | ||||
\(47\) | 0.0684379 | − | 0.299846i | 0.00998270 | − | 0.0437370i | −0.969691 | − | 0.244333i | \(-0.921431\pi\) |
0.979674 | + | 0.200596i | \(0.0642880\pi\) | |||||||
\(48\) | 2.55278 | + | 1.74045i | 0.368462 | + | 0.251213i | ||||
\(49\) | −2.59107 | − | 4.48787i | −0.370153 | − | 0.641124i | ||||
\(50\) | −2.56272 | + | 4.43877i | −0.362424 | + | 0.627737i | ||||
\(51\) | 2.01960 | − | 0.972589i | 0.282801 | − | 0.136190i | ||||
\(52\) | 2.20652 | + | 0.680620i | 0.305989 | + | 0.0943850i | ||||
\(53\) | −1.07902 | − | 14.3985i | −0.148215 | − | 1.97779i | −0.202557 | − | 0.979271i | \(-0.564925\pi\) |
0.0543416 | − | 0.998522i | \(-0.482694\pi\) | |||||||
\(54\) | 0.335086 | + | 1.46811i | 0.0455994 | + | 0.199784i | ||||
\(55\) | 5.38190 | − | 13.7129i | 0.725695 | − | 1.84904i | ||||
\(56\) | 0.633410 | − | 8.45227i | 0.0846429 | − | 1.12948i | ||||
\(57\) | 8.09697 | − | 1.22042i | 1.07247 | − | 0.161649i | ||||
\(58\) | 0.241556 | + | 0.224131i | 0.0317179 | + | 0.0294299i | ||||
\(59\) | 7.36714 | + | 3.54783i | 0.959120 | + | 0.461888i | 0.846875 | − | 0.531793i | \(-0.178481\pi\) |
0.112245 | + | 0.993681i | \(0.464196\pi\) | |||||||
\(60\) | −9.96577 | + | 6.79455i | −1.28658 | + | 0.877172i | ||||
\(61\) | 4.08105 | + | 10.3983i | 0.522525 | + | 1.33137i | 0.911945 | + | 0.410312i | \(0.134580\pi\) |
−0.389420 | + | 0.921060i | \(0.627325\pi\) | |||||||
\(62\) | 2.86805 | − | 0.884677i | 0.364243 | − | 0.112354i | ||||
\(63\) | 5.18039 | − | 4.80670i | 0.652668 | − | 0.605587i | ||||
\(64\) | 0.774881 | − | 0.971669i | 0.0968601 | − | 0.121459i | ||||
\(65\) | −3.32872 | + | 4.17409i | −0.412877 | + | 0.517732i | ||||
\(66\) | −4.72719 | + | 4.38619i | −0.581877 | + | 0.539903i | ||||
\(67\) | 15.3175 | − | 4.72483i | 1.87133 | − | 0.577230i | 0.875816 | − | 0.482645i | \(-0.160324\pi\) |
0.995517 | − | 0.0945849i | \(-0.0301524\pi\) | |||||||
\(68\) | 0.557340 | + | 1.42008i | 0.0675874 | + | 0.172210i | ||||
\(69\) | −2.30324 | + | 1.57032i | −0.277277 | + | 0.189044i | ||||
\(70\) | 7.64014 | + | 3.67930i | 0.913171 | + | 0.439760i | ||||
\(71\) | 5.95771 | + | 5.52794i | 0.707050 | + | 0.656046i | 0.949374 | − | 0.314149i | \(-0.101719\pi\) |
−0.242324 | + | 0.970195i | \(0.577910\pi\) | |||||||
\(72\) | 4.86201 | − | 0.732830i | 0.572993 | − | 0.0863648i | ||||
\(73\) | −1.04819 | + | 13.9871i | −0.122682 | + | 1.63707i | 0.508233 | + | 0.861220i | \(0.330299\pi\) |
−0.630915 | + | 0.775852i | \(0.717320\pi\) | |||||||
\(74\) | 0.171796 | − | 0.437729i | 0.0199709 | − | 0.0508849i | ||||
\(75\) | −3.71156 | − | 16.2614i | −0.428574 | − | 1.87771i | ||||
\(76\) | 0.416449 | + | 5.55713i | 0.0477700 | + | 0.637446i | ||||
\(77\) | −13.9295 | − | 4.29668i | −1.58741 | − | 0.489652i | ||||
\(78\) | 2.10567 | − | 1.01404i | 0.238420 | − | 0.114817i | ||||
\(79\) | −6.55442 | + | 11.3526i | −0.737430 | + | 1.27727i | 0.216219 | + | 0.976345i | \(0.430628\pi\) |
−0.953649 | + | 0.300921i | \(0.902706\pi\) | |||||||
\(80\) | −2.43079 | − | 4.21026i | −0.271771 | − | 0.470721i | ||||
\(81\) | −9.06769 | − | 6.18225i | −1.00752 | − | 0.686916i | ||||
\(82\) | 0.740116 | − | 3.24266i | 0.0817321 | − | 0.358092i | ||||
\(83\) | −16.4529 | − | 2.47987i | −1.80594 | − | 0.272201i | −0.842222 | − | 0.539131i | \(-0.818753\pi\) |
−0.963716 | + | 0.266929i | \(0.913991\pi\) | |||||||
\(84\) | 7.44165 | + | 9.33154i | 0.811951 | + | 1.01815i | ||||
\(85\) | −3.52718 | −0.382576 | ||||||||
\(86\) | 4.21484 | − | 1.62393i | 0.454498 | − | 0.175113i | ||||
\(87\) | −1.07235 | −0.114968 | ||||||||
\(88\) | −6.32363 | − | 7.92958i | −0.674101 | − | 0.845296i | ||||
\(89\) | 10.9024 | + | 1.64327i | 1.15565 | + | 0.174187i | 0.698774 | − | 0.715343i | \(-0.253729\pi\) |
0.456878 | + | 0.889529i | \(0.348967\pi\) | |||||||
\(90\) | −1.09463 | + | 4.79588i | −0.115384 | + | 0.505530i | ||||
\(91\) | 4.36505 | + | 2.97604i | 0.457581 | + | 0.311974i | ||||
\(92\) | −0.948569 | − | 1.64297i | −0.0988951 | − | 0.171291i | ||||
\(93\) | −4.88368 | + | 8.45878i | −0.506414 | + | 0.877135i | ||||
\(94\) | 0.190870 | − | 0.0919182i | 0.0196868 | − | 0.00948064i | ||||
\(95\) | −12.3122 | − | 3.79781i | −1.26320 | − | 0.389647i | ||||
\(96\) | 0.972636 | + | 12.9789i | 0.0992693 | + | 1.32466i | ||||
\(97\) | 1.18096 | + | 5.17411i | 0.119908 | + | 0.525351i | 0.998829 | + | 0.0483836i | \(0.0154070\pi\) |
−0.878921 | + | 0.476968i | \(0.841736\pi\) | |||||||
\(98\) | 1.30410 | − | 3.32279i | 0.131734 | − | 0.335652i | ||||
\(99\) | 0.631934 | − | 8.43257i | 0.0635117 | − | 0.847505i | ||||
\(100\) | 11.2247 | − | 1.69185i | 1.12247 | − | 0.169185i | ||||
\(101\) | −5.79003 | − | 5.37236i | −0.576129 | − | 0.534570i | 0.337390 | − | 0.941365i | \(-0.390456\pi\) |
−0.913519 | + | 0.406795i | \(0.866646\pi\) | |||||||
\(102\) | 1.39113 | + | 0.669934i | 0.137743 | + | 0.0663333i | ||||
\(103\) | −3.78772 | + | 2.58243i | −0.373216 | + | 0.254454i | −0.735373 | − | 0.677663i | \(-0.762993\pi\) |
0.362157 | + | 0.932117i | \(0.382040\pi\) | |||||||
\(104\) | 1.34291 | + | 3.42168i | 0.131683 | + | 0.335523i | ||||
\(105\) | −26.3699 | + | 8.13404i | −2.57344 | + | 0.793801i | ||||
\(106\) | 7.29075 | − | 6.76482i | 0.708140 | − | 0.657058i | ||||
\(107\) | −6.13065 | + | 7.68759i | −0.592672 | + | 0.743187i | −0.984216 | − | 0.176972i | \(-0.943370\pi\) |
0.391544 | + | 0.920160i | \(0.371941\pi\) | |||||||
\(108\) | 2.07938 | − | 2.60746i | 0.200089 | − | 0.250903i | ||||
\(109\) | 6.98813 | − | 6.48403i | 0.669341 | − | 0.621058i | −0.270480 | − | 0.962726i | \(-0.587182\pi\) |
0.939821 | + | 0.341668i | \(0.110992\pi\) | |||||||
\(110\) | 9.69624 | − | 2.99089i | 0.924500 | − | 0.285170i | ||||
\(111\) | 0.559070 | + | 1.42449i | 0.0530646 | + | 0.135206i | ||||
\(112\) | −3.97483 | + | 2.70999i | −0.375586 | + | 0.256070i | ||||
\(113\) | −3.05240 | − | 1.46996i | −0.287146 | − | 0.138282i | 0.284767 | − | 0.958597i | \(-0.408084\pi\) |
−0.571912 | + | 0.820315i | \(0.693798\pi\) | |||||||
\(114\) | 4.13464 | + | 3.83639i | 0.387245 | + | 0.359310i | ||||
\(115\) | 4.33736 | − | 0.653753i | 0.404461 | − | 0.0609627i | ||||
\(116\) | 0.0545379 | − | 0.727758i | 0.00506372 | − | 0.0675706i | ||||
\(117\) | −1.11966 | + | 2.85285i | −0.103513 | + | 0.263746i | ||||
\(118\) | 1.25332 | + | 5.49116i | 0.115378 | + | 0.505502i | ||||
\(119\) | 0.260830 | + | 3.48053i | 0.0239102 | + | 0.319060i | ||||
\(120\) | −18.3474 | − | 5.65942i | −1.67488 | − | 0.516632i | ||||
\(121\) | −5.80489 | + | 2.79549i | −0.527717 | + | 0.254135i | ||||
\(122\) | −3.84721 | + | 6.66356i | −0.348310 | + | 0.603291i | ||||
\(123\) | 5.41193 | + | 9.37374i | 0.487978 | + | 0.845202i | ||||
\(124\) | −5.49223 | − | 3.74454i | −0.493216 | − | 0.336269i | ||||
\(125\) | −1.91584 | + | 8.39386i | −0.171358 | + | 0.750770i | ||||
\(126\) | 4.81340 | + | 0.725504i | 0.428812 | + | 0.0646330i | ||||
\(127\) | 2.82978 | + | 3.54844i | 0.251103 | + | 0.314873i | 0.891367 | − | 0.453282i | \(-0.149747\pi\) |
−0.640265 | + | 0.768154i | \(0.721175\pi\) | |||||||
\(128\) | −10.7565 | −0.950750 | ||||||||
\(129\) | −6.46018 | + | 13.2034i | −0.568787 | + | 1.16249i | ||||
\(130\) | −3.67749 | −0.322537 | ||||||||
\(131\) | 7.85366 | + | 9.84818i | 0.686178 | + | 0.860440i | 0.995907 | − | 0.0903850i | \(-0.0288098\pi\) |
−0.309729 | + | 0.950825i | \(0.600238\pi\) | |||||||
\(132\) | 14.1224 | + | 2.12862i | 1.22920 | + | 0.185272i | ||||
\(133\) | −2.83712 | + | 12.4302i | −0.246009 | + | 1.07784i | ||||
\(134\) | 9.12290 | + | 6.21988i | 0.788098 | + | 0.537316i | ||||
\(135\) | 3.85550 | + | 6.67791i | 0.331828 | + | 0.574743i | ||||
\(136\) | −1.21422 | + | 2.10309i | −0.104119 | + | 0.180339i | ||||
\(137\) | 6.89453 | − | 3.32023i | 0.589040 | − | 0.283666i | −0.115527 | − | 0.993304i | \(-0.536856\pi\) |
0.704567 | + | 0.709638i | \(0.251141\pi\) | |||||||
\(138\) | −1.83484 | − | 0.565975i | −0.156192 | − | 0.0481790i | ||||
\(139\) | −0.215725 | − | 2.87865i | −0.0182976 | − | 0.244164i | −0.998851 | − | 0.0479140i | \(-0.984743\pi\) |
0.980554 | − | 0.196250i | \(-0.0628764\pi\) | |||||||
\(140\) | −4.17909 | − | 18.3098i | −0.353198 | − | 1.54746i | ||||
\(141\) | −0.251872 | + | 0.641760i | −0.0212115 | + | 0.0540460i | ||||
\(142\) | −0.418352 | + | 5.58253i | −0.0351074 | + | 0.468475i | ||||
\(143\) | 6.25105 | − | 0.942195i | 0.522739 | − | 0.0787903i | ||||
\(144\) | −2.04575 | − | 1.89818i | −0.170479 | − | 0.158181i | ||||
\(145\) | 1.52026 | + | 0.732119i | 0.126251 | + | 0.0607991i | ||||
\(146\) | −7.98276 | + | 5.44256i | −0.660658 | + | 0.450429i | ||||
\(147\) | 4.24389 | + | 10.8132i | 0.350030 | + | 0.891862i | ||||
\(148\) | −0.995171 | + | 0.306970i | −0.0818025 | + | 0.0252327i | ||||
\(149\) | 7.40542 | − | 6.87123i | 0.606676 | − | 0.562913i | −0.315869 | − | 0.948803i | \(-0.602296\pi\) |
0.922545 | + | 0.385890i | \(0.126106\pi\) | |||||||
\(150\) | 7.16337 | − | 8.98258i | 0.584887 | − | 0.733425i | ||||
\(151\) | −9.50412 | + | 11.9178i | −0.773434 | + | 0.969856i | −0.999991 | − | 0.00414208i | \(-0.998682\pi\) |
0.226557 | + | 0.973998i | \(0.427253\pi\) | |||||||
\(152\) | −6.50289 | + | 6.03380i | −0.527454 | + | 0.489406i | ||||
\(153\) | −1.93477 | + | 0.596798i | −0.156417 | + | 0.0482483i | ||||
\(154\) | −3.66837 | − | 9.34684i | −0.295605 | − | 0.753190i | ||||
\(155\) | 12.6985 | − | 8.65771i | 1.01997 | − | 0.695404i | ||||
\(156\) | −4.66347 | − | 2.24581i | −0.373377 | − | 0.179809i | ||||
\(157\) | 3.91254 | + | 3.63031i | 0.312255 | + | 0.289730i | 0.820694 | − | 0.571368i | \(-0.193587\pi\) |
−0.508439 | + | 0.861098i | \(0.669777\pi\) | |||||||
\(158\) | −8.92871 | + | 1.34579i | −0.710330 | + | 0.107065i | ||||
\(159\) | −2.41873 | + | 32.2756i | −0.191817 | + | 2.55963i | ||||
\(160\) | 7.48211 | − | 19.0641i | 0.591513 | − | 1.50715i | ||||
\(161\) | −0.965850 | − | 4.23166i | −0.0761196 | − | 0.333502i | ||||
\(162\) | −0.564923 | − | 7.53837i | −0.0443845 | − | 0.592270i | ||||
\(163\) | −7.04558 | − | 2.17327i | −0.551852 | − | 0.170224i | 0.00627341 | − | 0.999980i | \(-0.498003\pi\) |
−0.558126 | + | 0.829756i | \(0.688479\pi\) | |||||||
\(164\) | −6.63679 | + | 3.19611i | −0.518246 | + | 0.249574i | ||||
\(165\) | −16.5106 | + | 28.5972i | −1.28535 | + | 2.22629i | ||||
\(166\) | −5.73050 | − | 9.92551i | −0.444773 | − | 0.770369i | ||||
\(167\) | −11.2923 | − | 7.69898i | −0.873826 | − | 0.595765i | 0.0412037 | − | 0.999151i | \(-0.486881\pi\) |
−0.915030 | + | 0.403386i | \(0.867833\pi\) | |||||||
\(168\) | −4.22782 | + | 18.5233i | −0.326183 | + | 1.42910i | ||||
\(169\) | 10.5893 | + | 1.59608i | 0.814561 | + | 0.122775i | ||||
\(170\) | −1.51481 | − | 1.89951i | −0.116181 | − | 0.145686i | ||||
\(171\) | −7.39623 | −0.565604 | ||||||||
\(172\) | −8.63200 | − | 5.05574i | −0.658184 | − | 0.385497i | ||||
\(173\) | 4.18821 | 0.318424 | 0.159212 | − | 0.987244i | \(-0.449105\pi\) | ||||
0.159212 | + | 0.987244i | \(0.449105\pi\) | |||||||
\(174\) | −0.460542 | − | 0.577501i | −0.0349136 | − | 0.0437802i | ||||
\(175\) | 25.6811 | + | 3.87080i | 1.94131 | + | 0.292605i | ||||
\(176\) | −1.28095 | + | 5.61220i | −0.0965551 | + | 0.423036i | ||||
\(177\) | −15.1444 | − | 10.3252i | −1.13832 | − | 0.776093i | ||||
\(178\) | 3.79728 | + | 6.57708i | 0.284618 | + | 0.492973i | ||||
\(179\) | 2.05675 | − | 3.56240i | 0.153729 | − | 0.266266i | −0.778867 | − | 0.627190i | \(-0.784205\pi\) |
0.932596 | + | 0.360923i | \(0.117538\pi\) | |||||||
\(180\) | 9.81578 | − | 4.72703i | 0.731625 | − | 0.352332i | ||||
\(181\) | 25.2618 | + | 7.79224i | 1.87770 | + | 0.579193i | 0.993753 | + | 0.111600i | \(0.0355975\pi\) |
0.883944 | + | 0.467593i | \(0.154879\pi\) | |||||||
\(182\) | 0.271945 | + | 3.62885i | 0.0201579 | + | 0.268989i | ||||
\(183\) | −5.57186 | − | 24.4119i | −0.411884 | − | 1.80458i | ||||
\(184\) | 1.10332 | − | 2.81122i | 0.0813381 | − | 0.207246i | ||||
\(185\) | 0.179943 | − | 2.40117i | 0.0132297 | − | 0.176538i | ||||
\(186\) | −6.65275 | + | 1.00274i | −0.487804 | + | 0.0735246i | ||||
\(187\) | 3.06157 | + | 2.84072i | 0.223884 | + | 0.207734i | ||||
\(188\) | −0.422725 | − | 0.203573i | −0.0308304 | − | 0.0148471i | ||||
\(189\) | 6.30450 | − | 4.29833i | 0.458585 | − | 0.312658i | ||||
\(190\) | −3.24244 | − | 8.26161i | −0.235232 | − | 0.599360i | ||||
\(191\) | −17.4279 | + | 5.37581i | −1.26104 | + | 0.388980i | −0.852003 | − | 0.523537i | \(-0.824612\pi\) |
−0.409039 | + | 0.912517i | \(0.634136\pi\) | |||||||
\(192\) | −2.04219 | + | 1.89488i | −0.147382 | + | 0.136751i | ||||
\(193\) | −8.64349 | + | 10.8386i | −0.622172 | + | 0.780179i | −0.988648 | − | 0.150248i | \(-0.951993\pi\) |
0.366476 | + | 0.930427i | \(0.380564\pi\) | |||||||
\(194\) | −2.27927 | + | 2.85811i | −0.163642 | + | 0.205200i | ||||
\(195\) | 8.77282 | − | 8.13999i | 0.628235 | − | 0.582917i | ||||
\(196\) | −7.55431 | + | 2.33020i | −0.539594 | + | 0.166443i | ||||
\(197\) | 2.94641 | + | 7.50734i | 0.209923 | + | 0.534876i | 0.996591 | − | 0.0825008i | \(-0.0262907\pi\) |
−0.786668 | + | 0.617377i | \(0.788195\pi\) | |||||||
\(198\) | 4.81265 | − | 3.28121i | 0.342020 | − | 0.233185i | ||||
\(199\) | 5.56532 | + | 2.68012i | 0.394515 | + | 0.189988i | 0.620615 | − | 0.784116i | \(-0.286883\pi\) |
−0.226100 | + | 0.974104i | \(0.572597\pi\) | |||||||
\(200\) | 13.2462 | + | 12.2907i | 0.936648 | + | 0.869083i | ||||
\(201\) | −35.5306 | + | 5.35538i | −2.50614 | + | 0.377739i | ||||
\(202\) | 0.406578 | − | 5.42540i | 0.0286067 | − | 0.381730i | ||||
\(203\) | 0.610016 | − | 1.55430i | 0.0428147 | − | 0.109090i | ||||
\(204\) | −0.760938 | − | 3.33389i | −0.0532763 | − | 0.233419i | ||||
\(205\) | −1.27277 | − | 16.9839i | −0.0888939 | − | 1.18621i | ||||
\(206\) | −3.01744 | − | 0.930758i | −0.210235 | − | 0.0648490i | ||||
\(207\) | 2.26857 | − | 1.09249i | 0.157677 | − | 0.0759331i | ||||
\(208\) | 1.04314 | − | 1.80677i | 0.0723287 | − | 0.125277i | ||||
\(209\) | 7.62824 | + | 13.2125i | 0.527656 | + | 0.913927i | ||||
\(210\) | −15.7055 | − | 10.7079i | −1.08379 | − | 0.738913i | ||||
\(211\) | 1.98494 | − | 8.69660i | 0.136649 | − | 0.598699i | −0.859509 | − | 0.511121i | \(-0.829230\pi\) |
0.996158 | − | 0.0875774i | \(-0.0279125\pi\) | |||||||
\(212\) | −21.7810 | − | 3.28296i | −1.49593 | − | 0.225475i | ||||
\(213\) | −11.3587 | − | 14.2434i | −0.778288 | − | 0.975942i | ||||
\(214\) | −6.77298 | −0.462991 | ||||||||
\(215\) | 18.1728 | − | 14.3078i | 1.23937 | − | 0.975781i | ||||
\(216\) | 5.30897 | 0.361230 | ||||||||
\(217\) | −9.48226 | − | 11.8904i | −0.643698 | − | 0.807172i | ||||
\(218\) | 6.49308 | + | 0.978674i | 0.439767 | + | 0.0662841i | ||||
\(219\) | 6.99636 | − | 30.6531i | 0.472770 | − | 2.07134i | ||||
\(220\) | −18.5680 | − | 12.6594i | −1.25185 | − | 0.853499i | ||||
\(221\) | −0.756818 | − | 1.31085i | −0.0509091 | − | 0.0881771i | ||||
\(222\) | −0.527036 | + | 0.912854i | −0.0353724 | + | 0.0612667i | ||||
\(223\) | 1.11999 | − | 0.539360i | 0.0750002 | − | 0.0361182i | −0.396008 | − | 0.918247i | \(-0.629605\pi\) |
0.471008 | + | 0.882129i | \(0.343890\pi\) | |||||||
\(224\) | −19.3653 | − | 5.97340i | −1.29390 | − | 0.399115i | ||||
\(225\) | 1.12588 | + | 15.0238i | 0.0750585 | + | 1.00159i | ||||
\(226\) | −0.519284 | − | 2.27513i | −0.0345423 | − | 0.151339i | ||||
\(227\) | −3.72267 | + | 9.48522i | −0.247083 | + | 0.629556i | −0.999578 | − | 0.0290412i | \(-0.990755\pi\) |
0.752496 | + | 0.658597i | \(0.228850\pi\) | |||||||
\(228\) | 0.933508 | − | 12.4568i | 0.0618231 | − | 0.824972i | ||||
\(229\) | −7.78067 | + | 1.17275i | −0.514161 | + | 0.0774974i | −0.400998 | − | 0.916079i | \(-0.631336\pi\) |
−0.113164 | + | 0.993576i | \(0.536098\pi\) | |||||||
\(230\) | 2.21483 | + | 2.05507i | 0.146042 | + | 0.135507i | ||||
\(231\) | 29.4400 | + | 14.1776i | 1.93701 | + | 0.932814i | ||||
\(232\) | 0.959873 | − | 0.654431i | 0.0630188 | − | 0.0429655i | ||||
\(233\) | 4.94958 | + | 12.6113i | 0.324258 | + | 0.826195i | 0.996321 | + | 0.0857011i | \(0.0273130\pi\) |
−0.672063 | + | 0.740494i | \(0.734592\pi\) | |||||||
\(234\) | −2.01722 | + | 0.622231i | −0.131870 | + | 0.0406765i | ||||
\(235\) | 0.795221 | − | 0.737857i | 0.0518745 | − | 0.0481325i | ||||
\(236\) | 7.77751 | − | 9.75268i | 0.506273 | − | 0.634846i | ||||
\(237\) | 18.3210 | − | 22.9738i | 1.19008 | − | 1.49231i | ||||
\(238\) | −1.76238 | + | 1.63525i | −0.114238 | + | 0.105997i | ||||
\(239\) | −2.17039 | + | 0.669475i | −0.140391 | + | 0.0433048i | −0.364154 | − | 0.931339i | \(-0.618642\pi\) |
0.223764 | + | 0.974643i | \(0.428166\pi\) | |||||||
\(240\) | 3.98137 | + | 10.1444i | 0.256996 | + | 0.654816i | ||||
\(241\) | 2.44331 | − | 1.66582i | 0.157387 | − | 0.107305i | −0.482066 | − | 0.876135i | \(-0.660113\pi\) |
0.639453 | + | 0.768830i | \(0.279161\pi\) | |||||||
\(242\) | −3.99849 | − | 1.92557i | −0.257033 | − | 0.123781i | ||||
\(243\) | 13.2259 | + | 12.2718i | 0.848440 | + | 0.787237i | ||||
\(244\) | 16.8507 | − | 2.53983i | 1.07875 | − | 0.162596i | ||||
\(245\) | 1.36594 | − | 18.2272i | 0.0872668 | − | 1.16449i | ||||
\(246\) | −2.72385 | + | 6.94026i | −0.173666 | + | 0.442495i | ||||
\(247\) | −1.23037 | − | 5.39061i | −0.0782867 | − | 0.342997i | ||||
\(248\) | −0.790758 | − | 10.5519i | −0.0502132 | − | 0.670049i | ||||
\(249\) | 35.6402 | + | 10.9935i | 2.25860 | + | 0.696687i | ||||
\(250\) | −5.34320 | + | 2.57315i | −0.337934 | + | 0.162740i | ||||
\(251\) | −13.1492 | + | 22.7750i | −0.829968 | + | 1.43755i | 0.0680952 | + | 0.997679i | \(0.478308\pi\) |
−0.898063 | + | 0.439867i | \(0.855025\pi\) | |||||||
\(252\) | −5.39039 | − | 9.33642i | −0.339562 | − | 0.588139i | ||||
\(253\) | −4.29133 | − | 2.92578i | −0.269794 | − | 0.183942i | ||||
\(254\) | −0.695660 | + | 3.04789i | −0.0436496 | + | 0.191241i | ||||
\(255\) | 7.81817 | + | 1.17840i | 0.489593 | + | 0.0737943i | ||||
\(256\) | −6.16935 | − | 7.73612i | −0.385584 | − | 0.483507i | ||||
\(257\) | 2.30137 | 0.143556 | 0.0717778 | − | 0.997421i | \(-0.477133\pi\) | ||||
0.0717778 | + | 0.997421i | \(0.477133\pi\) | |||||||
\(258\) | −9.88496 | + | 2.19139i | −0.615411 | + | 0.136430i | ||||
\(259\) | −2.38272 | −0.148055 | ||||||||
\(260\) | 5.07808 | + | 6.36771i | 0.314929 | + | 0.394909i | ||||
\(261\) | 0.957787 | + | 0.144363i | 0.0592856 | + | 0.00893586i | ||||
\(262\) | −1.93071 | + | 8.45898i | −0.119279 | + | 0.522597i | ||||
\(263\) | 8.14812 | + | 5.55529i | 0.502434 | + | 0.342554i | 0.787868 | − | 0.615845i | \(-0.211185\pi\) |
−0.285433 | + | 0.958399i | \(0.592137\pi\) | |||||||
\(264\) | 11.3675 | + | 19.6890i | 0.699619 | + | 1.21178i | ||||
\(265\) | 25.4643 | − | 44.1055i | 1.56426 | − | 2.70938i | ||||
\(266\) | −7.91259 | + | 3.81050i | −0.485152 | + | 0.233637i | ||||
\(267\) | −23.6167 | − | 7.28480i | −1.44532 | − | 0.445823i | ||||
\(268\) | −1.82744 | − | 24.3854i | −0.111628 | − | 1.48958i | ||||
\(269\) | 4.11643 | + | 18.0352i | 0.250983 | + | 1.09963i | 0.930593 | + | 0.366055i | \(0.119292\pi\) |
−0.679610 | + | 0.733573i | \(0.737851\pi\) | |||||||
\(270\) | −1.94049 | + | 4.94428i | −0.118094 | + | 0.300900i | ||||
\(271\) | −0.156577 | + | 2.08937i | −0.00951136 | + | 0.126920i | −0.999938 | − | 0.0111185i | \(-0.996461\pi\) |
0.990427 | + | 0.138039i | \(0.0440798\pi\) | |||||||
\(272\) | 1.36293 | − | 0.205428i | 0.0826397 | − | 0.0124559i | ||||
\(273\) | −8.68109 | − | 8.05487i | −0.525403 | − | 0.487503i | ||||
\(274\) | 4.74905 | + | 2.28702i | 0.286901 | + | 0.138164i | ||||
\(275\) | 25.6770 | − | 17.5063i | 1.54838 | − | 1.05567i | ||||
\(276\) | 1.55365 | + | 3.95864i | 0.0935188 | + | 0.238282i | ||||
\(277\) | −30.5445 | + | 9.42174i | −1.83524 | + | 0.566098i | −0.835378 | + | 0.549676i | \(0.814751\pi\) |
−0.999865 | + | 0.0164220i | \(0.994772\pi\) | |||||||
\(278\) | 1.45761 | − | 1.35247i | 0.0874218 | − | 0.0811156i | ||||
\(279\) | 5.50068 | − | 6.89763i | 0.329317 | − | 0.412951i | ||||
\(280\) | 18.6400 | − | 23.3738i | 1.11395 | − | 1.39685i | ||||
\(281\) | −3.21689 | + | 2.98484i | −0.191904 | + | 0.178061i | −0.770273 | − | 0.637715i | \(-0.779880\pi\) |
0.578369 | + | 0.815775i | \(0.303689\pi\) | |||||||
\(282\) | −0.453783 | + | 0.139974i | −0.0270224 | + | 0.00833530i | ||||
\(283\) | −10.9694 | − | 27.9496i | −0.652065 | − | 1.66143i | −0.746074 | − | 0.665863i | \(-0.768064\pi\) |
0.0940097 | − | 0.995571i | \(-0.470032\pi\) | |||||||
\(284\) | 10.2441 | − | 6.98428i | 0.607873 | − | 0.414441i | ||||
\(285\) | 26.0218 | + | 12.5314i | 1.54140 | + | 0.742298i | ||||
\(286\) | 3.19204 | + | 2.96178i | 0.188749 | + | 0.175134i | ||||
\(287\) | −16.6652 | + | 2.51187i | −0.983715 | + | 0.148271i | ||||
\(288\) | 0.878538 | − | 11.7233i | 0.0517683 | − | 0.690800i | ||||
\(289\) | 0.365341 | − | 0.930874i | 0.0214906 | − | 0.0547573i | ||||
\(290\) | 0.258631 | + | 1.13314i | 0.0151874 | + | 0.0665402i | ||||
\(291\) | −0.889027 | − | 11.8632i | −0.0521157 | − | 0.695435i | ||||
\(292\) | 20.4471 | + | 6.30708i | 1.19657 | + | 0.369094i | ||||
\(293\) | −1.33254 | + | 0.641716i | −0.0778477 | + | 0.0374895i | −0.472402 | − | 0.881383i | \(-0.656613\pi\) |
0.394555 | + | 0.918872i | \(0.370899\pi\) | |||||||
\(294\) | −4.00072 | + | 6.92945i | −0.233327 | + | 0.404134i | ||||
\(295\) | 14.4207 | + | 24.9774i | 0.839605 | + | 1.45424i | ||||
\(296\) | −1.36976 | − | 0.933888i | −0.0796158 | − | 0.0542811i | ||||
\(297\) | 2.03172 | − | 8.90155i | 0.117892 | − | 0.516520i | ||||
\(298\) | 6.88081 | + | 1.03712i | 0.398595 | + | 0.0600785i | ||||
\(299\) | 1.17362 | + | 1.47167i | 0.0678722 | + | 0.0851091i | ||||
\(300\) | −25.4453 | −1.46909 | ||||||||
\(301\) | −15.4624 | − | 16.8744i | −0.891238 | − | 0.972625i | ||||
\(302\) | −10.4999 | −0.604201 | ||||||||
\(303\) | 11.0390 | + | 13.8425i | 0.634176 | + | 0.795232i | ||||
\(304\) | 4.97872 | + | 0.750421i | 0.285549 | + | 0.0430396i | ||||
\(305\) | −8.76741 | + | 38.4125i | −0.502021 | + | 2.19950i | ||||
\(306\) | −1.15232 | − | 0.785640i | −0.0658739 | − | 0.0449121i | ||||
\(307\) | 0.610553 | + | 1.05751i | 0.0348461 | + | 0.0603552i | 0.882923 | − | 0.469519i | \(-0.155573\pi\) |
−0.848076 | + | 0.529874i | \(0.822239\pi\) | |||||||
\(308\) | −11.1189 | + | 19.2586i | −0.633561 | + | 1.09736i | ||||
\(309\) | 9.25846 | − | 4.45864i | 0.526695 | − | 0.253643i | ||||
\(310\) | 10.1161 | + | 3.12041i | 0.574557 | + | 0.177227i | ||||
\(311\) | 0.465992 | + | 6.21823i | 0.0264240 | + | 0.352604i | 0.994707 | + | 0.102749i | \(0.0327638\pi\) |
−0.968283 | + | 0.249855i | \(0.919617\pi\) | |||||||
\(312\) | −1.83348 | − | 8.03299i | −0.103800 | − | 0.454779i | ||||
\(313\) | −8.57538 | + | 21.8497i | −0.484709 | + | 1.23502i | 0.454215 | + | 0.890892i | \(0.349920\pi\) |
−0.938924 | + | 0.344126i | \(0.888175\pi\) | |||||||
\(314\) | −0.274740 | + | 3.66616i | −0.0155045 | + | 0.206893i | ||||
\(315\) | 24.6477 | − | 3.71505i | 1.38874 | − | 0.209319i | ||||
\(316\) | 14.6596 | + | 13.6021i | 0.824665 | + | 0.765177i | ||||
\(317\) | 15.0780 | + | 7.26119i | 0.846866 | + | 0.407829i | 0.806413 | − | 0.591352i | \(-0.201406\pi\) |
0.0404528 | + | 0.999181i | \(0.487120\pi\) | |||||||
\(318\) | −18.4204 | + | 12.5588i | −1.03296 | + | 0.704263i | ||||
\(319\) | −0.729944 | − | 1.85987i | −0.0408690 | − | 0.104132i | ||||
\(320\) | 4.18886 | − | 1.29209i | 0.234165 | − | 0.0722302i | ||||
\(321\) | 16.1573 | − | 14.9918i | 0.901811 | − | 0.836758i | ||||
\(322\) | 1.86411 | − | 2.33751i | 0.103883 | − | 0.130265i | ||||
\(323\) | 2.27758 | − | 2.85600i | 0.126728 | − | 0.158912i | ||||
\(324\) | −12.2729 | + | 11.3876i | −0.681829 | + | 0.632645i | ||||
\(325\) | −10.7625 | + | 3.31980i | −0.596998 | + | 0.184150i | ||||
\(326\) | −1.85547 | − | 4.72766i | −0.102765 | − | 0.261841i | ||||
\(327\) | −17.6558 | + | 12.0375i | −0.976369 | + | 0.665677i | ||||
\(328\) | −10.5649 | − | 5.08776i | −0.583346 | − | 0.280925i | ||||
\(329\) | −0.786905 | − | 0.730141i | −0.0433835 | − | 0.0402540i | ||||
\(330\) | −22.4915 | + | 3.39004i | −1.23811 | + | 0.186616i | ||||
\(331\) | 0.381324 | − | 5.08841i | 0.0209594 | − | 0.279684i | −0.976870 | − | 0.213834i | \(-0.931405\pi\) |
0.997829 | − | 0.0658506i | \(-0.0209761\pi\) | |||||||
\(332\) | −9.27343 | + | 23.6283i | −0.508946 | + | 1.29677i | ||||
\(333\) | −0.307574 | − | 1.34757i | −0.0168549 | − | 0.0738463i | ||||
\(334\) | −0.703519 | − | 9.38781i | −0.0384948 | − | 0.513678i | ||||
\(335\) | 54.0276 | + | 16.6653i | 2.95184 | + | 0.910523i | ||||
\(336\) | 9.71580 | − | 4.67889i | 0.530041 | − | 0.255254i | ||||
\(337\) | −6.86005 | + | 11.8820i | −0.373691 | + | 0.647251i | −0.990130 | − | 0.140151i | \(-0.955241\pi\) |
0.616439 | + | 0.787402i | \(0.288575\pi\) | |||||||
\(338\) | 3.68823 | + | 6.38820i | 0.200613 | + | 0.347472i | ||||
\(339\) | 6.27470 | + | 4.27802i | 0.340795 | + | 0.232350i | ||||
\(340\) | −1.19735 | + | 5.24592i | −0.0649352 | + | 0.284500i | ||||
\(341\) | −17.9950 | − | 2.71232i | −0.974486 | − | 0.146880i | ||||
\(342\) | −3.17645 | − | 3.98314i | −0.171763 | − | 0.215384i | ||||
\(343\) | 6.34486 | 0.342590 | ||||||||
\(344\) | −2.27513 | − | 15.7610i | −0.122667 | − | 0.849775i | ||||
\(345\) | −9.83241 | −0.529359 | ||||||||
\(346\) | 1.79871 | + | 2.25551i | 0.0966990 | + | 0.121257i | ||||
\(347\) | 35.4290 | + | 5.34006i | 1.90193 | + | 0.286669i | 0.991814 | − | 0.127691i | \(-0.0407566\pi\) |
0.910113 | + | 0.414360i | \(0.135995\pi\) | |||||||
\(348\) | −0.364024 | + | 1.59489i | −0.0195137 | + | 0.0854953i | ||||
\(349\) | 15.4074 | + | 10.5046i | 0.824740 | + | 0.562298i | 0.900514 | − | 0.434827i | \(-0.143190\pi\) |
−0.0757741 | + | 0.997125i | \(0.524143\pi\) | |||||||
\(350\) | 8.94466 | + | 15.4926i | 0.478112 | + | 0.828114i | ||||
\(351\) | −1.65453 | + | 2.86573i | −0.0883122 | + | 0.152961i | ||||
\(352\) | −21.8483 | + | 10.5216i | −1.16452 | + | 0.560803i | ||||
\(353\) | −19.3682 | − | 5.97431i | −1.03087 | − | 0.317981i | −0.267235 | − | 0.963631i | \(-0.586110\pi\) |
−0.763633 | + | 0.645651i | \(0.776586\pi\) | |||||||
\(354\) | −0.943503 | − | 12.5902i | −0.0501466 | − | 0.669160i | ||||
\(355\) | 6.37885 | + | 27.9476i | 0.338554 | + | 1.48330i | ||||
\(356\) | 6.14498 | − | 15.6572i | 0.325683 | − | 0.829828i | ||||
\(357\) | 0.584674 | − | 7.80193i | 0.0309442 | − | 0.412922i | ||||
\(358\) | 2.80180 | − | 0.422303i | 0.148080 | − | 0.0223194i | ||||
\(359\) | 26.8771 | + | 24.9383i | 1.41852 | + | 1.31619i | 0.881142 | + | 0.472852i | \(0.156775\pi\) |
0.537378 | + | 0.843342i | \(0.319415\pi\) | |||||||
\(360\) | 15.6254 | + | 7.52478i | 0.823529 | + | 0.396591i | ||||
\(361\) | −4.67314 | + | 3.18609i | −0.245955 | + | 0.167689i | ||||
\(362\) | 6.65276 | + | 16.9510i | 0.349661 | + | 0.890923i | ||||
\(363\) | 13.8008 | − | 4.25698i | 0.724354 | − | 0.223434i | ||||
\(364\) | 5.90799 | − | 5.48182i | 0.309663 | − | 0.287325i | ||||
\(365\) | −30.8462 | + | 38.6799i | −1.61456 | + | 2.02460i | ||||
\(366\) | 10.7538 | − | 13.4848i | 0.562110 | − | 0.704863i | ||||
\(367\) | −15.5424 | + | 14.4213i | −0.811308 | + | 0.752784i | −0.972191 | − | 0.234190i | \(-0.924756\pi\) |
0.160883 | + | 0.986973i | \(0.448566\pi\) | |||||||
\(368\) | −1.63792 | + | 0.505230i | −0.0853823 | + | 0.0263369i | ||||
\(369\) | −3.57183 | − | 9.10088i | −0.185942 | − | 0.473773i | ||||
\(370\) | 1.37040 | − | 0.934322i | 0.0712437 | − | 0.0485731i | ||||
\(371\) | −45.4053 | − | 21.8660i | −2.35733 | − | 1.13523i | ||||
\(372\) | 10.9228 | + | 10.1349i | 0.566320 | + | 0.525469i | ||||
\(373\) | 6.13277 | − | 0.924366i | 0.317543 | − | 0.0478619i | 0.0116629 | − | 0.999932i | \(-0.496288\pi\) |
0.305880 | + | 0.952070i | \(0.401049\pi\) | |||||||
\(374\) | −0.214985 | + | 2.86877i | −0.0111166 | + | 0.148341i | ||||
\(375\) | 7.05089 | − | 17.9654i | 0.364106 | − | 0.927728i | ||||
\(376\) | −0.166197 | − | 0.728158i | −0.00857097 | − | 0.0375519i | ||||
\(377\) | 0.0541125 | + | 0.722082i | 0.00278694 | + | 0.0371891i | ||||
\(378\) | 5.02240 | + | 1.54920i | 0.258324 | + | 0.0796825i | ||||
\(379\) | 22.5594 | − | 10.8640i | 1.15880 | − | 0.558048i | 0.247134 | − | 0.968981i | \(-0.420511\pi\) |
0.911666 | + | 0.410933i | \(0.134797\pi\) | |||||||
\(380\) | −9.82796 | + | 17.0225i | −0.504164 | + | 0.873237i | ||||
\(381\) | −5.08686 | − | 8.81070i | −0.260608 | − | 0.451386i | ||||
\(382\) | −10.3798 | − | 7.07685i | −0.531078 | − | 0.362083i | ||||
\(383\) | 5.40345 | − | 23.6741i | 0.276104 | − | 1.20969i | −0.626571 | − | 0.779365i | \(-0.715542\pi\) |
0.902674 | − | 0.430324i | \(-0.141601\pi\) | |||||||
\(384\) | 23.8424 | + | 3.59366i | 1.21670 | + | 0.183388i | ||||
\(385\) | −32.0574 | − | 40.1987i | −1.63380 | − | 2.04872i | ||||
\(386\) | −9.54910 | −0.486036 | ||||||||
\(387\) | 7.54749 | − | 10.9231i | 0.383661 | − | 0.555253i | ||||
\(388\) | 8.09627 | 0.411026 | ||||||||
\(389\) | 15.4678 | + | 19.3960i | 0.784249 | + | 0.983418i | 0.999976 | + | 0.00696372i | \(0.00221664\pi\) |
−0.215726 | + | 0.976454i | \(0.569212\pi\) | |||||||
\(390\) | 8.15134 | + | 1.22862i | 0.412759 | + | 0.0622134i | ||||
\(391\) | −0.276725 | + | 1.21241i | −0.0139946 | + | 0.0613142i | ||||
\(392\) | −10.3978 | − | 7.08911i | −0.525169 | − | 0.358054i | ||||
\(393\) | −14.1179 | − | 24.4529i | −0.712152 | − | 1.23348i | ||||
\(394\) | −2.77759 | + | 4.81092i | −0.139933 | + | 0.242371i | ||||
\(395\) | −41.6583 | + | 20.0616i | −2.09606 | + | 1.00941i | ||||
\(396\) | −12.3271 | − | 3.80241i | −0.619461 | − | 0.191078i | ||||
\(397\) | −0.949661 | − | 12.6723i | −0.0476621 | − | 0.636007i | −0.968971 | − | 0.247175i | \(-0.920498\pi\) |
0.921309 | − | 0.388832i | \(-0.127121\pi\) | |||||||
\(398\) | 0.946790 | + | 4.14816i | 0.0474583 | + | 0.207928i | ||||
\(399\) | 10.4414 | − | 26.6044i | 0.522726 | − | 1.33188i | ||||
\(400\) | 0.766436 | − | 10.2274i | 0.0383218 | − | 0.511369i | ||||
\(401\) | −30.0002 | + | 4.52180i | −1.49814 | + | 0.225808i | −0.846364 | − | 0.532606i | \(-0.821213\pi\) |
−0.651774 | + | 0.758413i | \(0.725975\pi\) | |||||||
\(402\) | −18.1434 | − | 16.8346i | −0.904909 | − | 0.839633i | ||||
\(403\) | 5.94227 | + | 2.86164i | 0.296005 | + | 0.142549i | ||||
\(404\) | −9.95573 | + | 6.78770i | −0.495316 | + | 0.337701i | ||||
\(405\) | −14.1422 | − | 36.0337i | −0.702731 | − | 1.79053i | ||||
\(406\) | 1.09903 | − | 0.339005i | 0.0545439 | − | 0.0168246i | ||||
\(407\) | −2.09005 | + | 1.93928i | −0.103600 | + | 0.0961267i | ||||
\(408\) | 3.39401 | − | 4.25595i | 0.168028 | − | 0.210701i | ||||
\(409\) | −0.980648 | + | 1.22969i | −0.0484899 | + | 0.0608044i | −0.805485 | − | 0.592616i | \(-0.798095\pi\) |
0.756995 | + | 0.653420i | \(0.226667\pi\) | |||||||
\(410\) | 8.59984 | − | 7.97949i | 0.424716 | − | 0.394079i | ||||
\(411\) | −16.3914 | + | 5.05606i | −0.808526 | + | 0.249397i | ||||
\(412\) | 2.55501 | + | 6.51007i | 0.125876 | + | 0.320728i | ||||
\(413\) | 23.5807 | − | 16.0770i | 1.16033 | − | 0.791099i | ||||
\(414\) | 1.56263 | + | 0.752521i | 0.0767989 | + | 0.0369844i | ||||
\(415\) | −43.0211 | − | 39.9178i | −2.11182 | − | 1.95949i | ||||
\(416\) | 8.69045 | − | 1.30987i | 0.426084 | − | 0.0642219i | ||||
\(417\) | −0.483567 | + | 6.45275i | −0.0236804 | + | 0.315993i | ||||
\(418\) | −3.83933 | + | 9.78245i | −0.187788 | + | 0.478475i | ||||
\(419\) | −8.61604 | − | 37.7494i | −0.420921 | − | 1.84418i | −0.527064 | − | 0.849826i | \(-0.676707\pi\) |
0.106142 | − | 0.994351i | \(-0.466150\pi\) | |||||||
\(420\) | 3.14603 | + | 41.9808i | 0.153510 | + | 2.04845i | ||||
\(421\) | −4.86129 | − | 1.49951i | −0.236925 | − | 0.0730817i | 0.174019 | − | 0.984742i | \(-0.444325\pi\) |
−0.410944 | + | 0.911661i | \(0.634801\pi\) | |||||||
\(422\) | 5.53591 | − | 2.66595i | 0.269484 | − | 0.129777i | ||||
\(423\) | 0.311359 | − | 0.539290i | 0.0151388 | − | 0.0262212i | ||||
\(424\) | −17.5320 | − | 30.3664i | −0.851431 | − | 1.47472i | ||||
\(425\) | −6.14802 | − | 4.19165i | −0.298223 | − | 0.203325i | ||||
\(426\) | 2.79238 | − | 12.2342i | 0.135291 | − | 0.592749i | ||||
\(427\) | 38.5529 | + | 5.81092i | 1.86571 | + | 0.281210i | ||||
\(428\) | 9.35251 | + | 11.7277i | 0.452071 | + | 0.566879i | ||||
\(429\) | −14.1706 | −0.684162 | ||||||||
\(430\) | 15.5099 | + | 3.64197i | 0.747954 | + | 0.175631i | ||||
\(431\) | 1.45345 | 0.0700102 | 0.0350051 | − | 0.999387i | \(-0.488855\pi\) | ||||
0.0350051 | + | 0.999387i | \(0.488855\pi\) | |||||||
\(432\) | −1.87873 | − | 2.35585i | −0.0903902 | − | 0.113346i | ||||
\(433\) | 21.8184 | + | 3.28859i | 1.04853 | + | 0.158040i | 0.650633 | − | 0.759392i | \(-0.274504\pi\) |
0.397892 | + | 0.917432i | \(0.369742\pi\) | |||||||
\(434\) | 2.33107 | − | 10.2131i | 0.111895 | − | 0.490245i | ||||
\(435\) | −3.12514 | − | 2.13069i | −0.149839 | − | 0.102159i | ||||
\(436\) | −7.27140 | − | 12.5944i | −0.348237 | − | 0.603164i | ||||
\(437\) | −2.27139 | + | 3.93416i | −0.108655 | + | 0.188196i | ||||
\(438\) | 19.5125 | − | 9.39674i | 0.932345 | − | 0.448994i | ||||
\(439\) | 36.3964 | + | 11.2268i | 1.73710 | + | 0.535825i | 0.991448 | − | 0.130506i | \(-0.0416601\pi\) |
0.745656 | + | 0.666331i | \(0.232136\pi\) | |||||||
\(440\) | −2.67337 | − | 35.6737i | −0.127448 | − | 1.70068i | ||||
\(441\) | −2.33478 | − | 10.2293i | −0.111180 | − | 0.487112i | ||||
\(442\) | 0.380910 | − | 0.970543i | 0.0181180 | − | 0.0461640i | ||||
\(443\) | 1.08250 | − | 14.4449i | 0.0514310 | − | 0.686298i | −0.910588 | − | 0.413315i | \(-0.864371\pi\) |
0.962019 | − | 0.272983i | \(-0.0880103\pi\) | |||||||
\(444\) | 2.30841 | − | 0.347936i | 0.109552 | − | 0.0165123i | ||||
\(445\) | 28.5077 | + | 26.4513i | 1.35139 | + | 1.25391i | ||||
\(446\) | 0.771467 | + | 0.371519i | 0.0365300 | + | 0.0175919i | ||||
\(447\) | −18.7101 | + | 12.7564i | −0.884959 | + | 0.603355i | ||||
\(448\) | −1.58477 | − | 4.03792i | −0.0748732 | − | 0.190774i | ||||
\(449\) | 3.54215 | − | 1.09261i | 0.167164 | − | 0.0515634i | −0.210043 | − | 0.977692i | \(-0.567360\pi\) |
0.377208 | + | 0.926129i | \(0.376884\pi\) | |||||||
\(450\) | −7.60734 | + | 7.05858i | −0.358613 | + | 0.332745i | ||||
\(451\) | −12.5738 | + | 15.7670i | −0.592076 | + | 0.742439i | ||||
\(452\) | −3.22243 | + | 4.04079i | −0.151570 | + | 0.190063i | ||||
\(453\) | 25.0480 | − | 23.2412i | 1.17686 | − | 1.09197i | ||||
\(454\) | −6.70691 | + | 2.06881i | −0.314771 | + | 0.0970940i | ||||
\(455\) | 6.80783 | + | 17.3461i | 0.319156 | + | 0.813196i | ||||
\(456\) | 16.4298 | − | 11.2017i | 0.769398 | − | 0.524567i | ||||
\(457\) | 2.17524 | + | 1.04754i | 0.101754 | + | 0.0490019i | 0.484068 | − | 0.875030i | \(-0.339159\pi\) |
−0.382315 | + | 0.924032i | \(0.624873\pi\) | |||||||
\(458\) | −3.97313 | − | 3.68652i | −0.185652 | − | 0.172260i | ||||
\(459\) | −2.16175 | + | 0.325831i | −0.100902 | + | 0.0152085i | ||||
\(460\) | 0.500059 | − | 6.67283i | 0.0233154 | − | 0.311122i | ||||
\(461\) | −9.76976 | + | 24.8929i | −0.455023 | + | 1.15938i | 0.500833 | + | 0.865544i | \(0.333027\pi\) |
−0.955856 | + | 0.293836i | \(0.905068\pi\) | |||||||
\(462\) | 5.00842 | + | 21.9433i | 0.233013 | + | 1.02090i | ||||
\(463\) | −1.42123 | − | 18.9651i | −0.0660504 | − | 0.881381i | −0.927568 | − | 0.373654i | \(-0.878105\pi\) |
0.861518 | − | 0.507727i | \(-0.169514\pi\) | |||||||
\(464\) | −0.630080 | − | 0.194354i | −0.0292507 | − | 0.00902266i | ||||
\(465\) | −31.0394 | + | 14.9478i | −1.43942 | + | 0.693188i | ||||
\(466\) | −4.66597 | + | 8.08170i | −0.216147 | + | 0.374377i | ||||
\(467\) | −19.3067 | − | 33.4402i | −0.893408 | − | 1.54743i | −0.835763 | − | 0.549090i | \(-0.814974\pi\) |
−0.0576447 | − | 0.998337i | \(-0.518359\pi\) | |||||||
\(468\) | 3.86291 | + | 2.63369i | 0.178563 | + | 0.121742i | ||||
\(469\) | 12.4497 | − | 54.5455i | 0.574872 | − | 2.51868i | ||||
\(470\) | 0.738886 | + | 0.111369i | 0.0340823 | + | 0.00513708i | ||||
\(471\) | −7.45950 | − | 9.35392i | −0.343716 | − | 0.431006i | ||||
\(472\) | 19.8571 | 0.913998 | ||||||||
\(473\) | −27.2971 | − | 2.21695i | −1.25512 | − | 0.101936i | ||||
\(474\) | 20.2406 | 0.929681 | ||||||||
\(475\) | −16.9474 | − | 21.2514i | −0.777600 | − | 0.975080i | ||||
\(476\) | 5.26509 | + | 0.793585i | 0.241325 | + | 0.0363739i | ||||
\(477\) | 6.50537 | − | 28.5019i | 0.297860 | − | 1.30501i | ||||
\(478\) | −1.29265 | − | 0.881314i | −0.0591245 | − | 0.0403104i | ||||
\(479\) | −3.18238 | − | 5.51205i | −0.145407 | − | 0.251852i | 0.784118 | − | 0.620612i | \(-0.213116\pi\) |
−0.929525 | + | 0.368760i | \(0.879782\pi\) | |||||||
\(480\) | −22.9537 | + | 39.7569i | −1.04769 | + | 1.81465i | ||||
\(481\) | 0.930986 | − | 0.448339i | 0.0424493 | − | 0.0204425i | ||||
\(482\) | 1.94643 | + | 0.600394i | 0.0886575 | + | 0.0273472i | ||||
\(483\) | 0.727094 | + | 9.70239i | 0.0330839 | + | 0.441474i | ||||
\(484\) | 2.18714 | + | 9.58249i | 0.0994155 | + | 0.435568i | ||||
\(485\) | −6.83894 | + | 17.4253i | −0.310540 | + | 0.791244i | ||||
\(486\) | −0.928726 | + | 12.3930i | −0.0421278 | + | 0.562157i | ||||
\(487\) | −3.24642 | + | 0.489319i | −0.147109 | + | 0.0221731i | −0.222184 | − | 0.975005i | \(-0.571319\pi\) |
0.0750748 | + | 0.997178i | \(0.476080\pi\) | |||||||
\(488\) | 19.8855 | + | 18.4510i | 0.900172 | + | 0.835238i | ||||
\(489\) | 14.8908 | + | 7.17104i | 0.673386 | + | 0.324286i | ||||
\(490\) | 10.4027 | − | 7.09241i | 0.469944 | − | 0.320403i | ||||
\(491\) | −3.23247 | − | 8.23620i | −0.145879 | − | 0.371694i | 0.839193 | − | 0.543833i | \(-0.183028\pi\) |
−0.985073 | + | 0.172139i | \(0.944932\pi\) | |||||||
\(492\) | 15.7786 | − | 4.86705i | 0.711354 | − | 0.219424i | ||||
\(493\) | −0.350684 | + | 0.325387i | −0.0157940 | + | 0.0146547i | ||||
\(494\) | 2.37464 | − | 2.97770i | 0.106840 | − | 0.133973i | ||||
\(495\) | 18.5966 | − | 23.3193i | 0.835853 | − | 1.04813i | ||||
\(496\) | −4.40257 | + | 4.08499i | −0.197681 | + | 0.183422i | ||||
\(497\) | 27.1063 | − | 8.36118i | 1.21588 | − | 0.375050i | ||||
\(498\) | 9.38592 | + | 23.9149i | 0.420593 | + | 1.07165i | ||||
\(499\) | 22.9018 | − | 15.6142i | 1.02523 | − | 0.698988i | 0.0708178 | − | 0.997489i | \(-0.477439\pi\) |
0.954409 | + | 0.298501i | \(0.0964867\pi\) | |||||||
\(500\) | 11.8337 | + | 5.69881i | 0.529220 | + | 0.254859i | ||||
\(501\) | 22.4579 | + | 20.8379i | 1.00334 | + | 0.930967i | ||||
\(502\) | −17.9123 | + | 2.69985i | −0.799467 | + | 0.120500i | ||||
\(503\) | −1.67066 | + | 22.2934i | −0.0744912 | + | 0.994016i | 0.827277 | + | 0.561795i | \(0.189889\pi\) |
−0.901768 | + | 0.432221i | \(0.857730\pi\) | |||||||
\(504\) | 6.26980 | − | 15.9752i | 0.279279 | − | 0.711592i | ||||
\(505\) | −6.19932 | − | 27.1610i | −0.275866 | − | 1.20865i | ||||
\(506\) | −0.267353 | − | 3.56757i | −0.0118853 | − | 0.158598i | ||||
\(507\) | −22.9385 | − | 7.07559i | −1.01873 | − | 0.314238i | ||||
\(508\) | 6.23815 | − | 3.00413i | 0.276773 | − | 0.133287i | ||||
\(509\) | 11.5998 | − | 20.0915i | 0.514154 | − | 0.890540i | −0.485711 | − | 0.874119i | \(-0.661439\pi\) |
0.999865 | − | 0.0164211i | \(-0.00522723\pi\) | |||||||
\(510\) | 2.72305 | + | 4.71646i | 0.120579 | + | 0.208848i | ||||
\(511\) | 40.4494 | + | 27.5780i | 1.78938 | + | 1.21998i | ||||
\(512\) | −3.27046 | + | 14.3288i | −0.144535 | + | 0.633249i | ||||
\(513\) | −7.89677 | − | 1.19025i | −0.348651 | − | 0.0525507i | ||||
\(514\) | 0.988367 | + | 1.23937i | 0.0435950 | + | 0.0546664i | ||||
\(515\) | −16.1696 | −0.712519 | ||||||||
\(516\) | 17.4442 | + | 14.0902i | 0.767938 | + | 0.620287i | ||||
\(517\) | −1.28450 | −0.0564925 | ||||||||
\(518\) | −1.02331 | − | 1.28319i | −0.0449615 | − | 0.0563799i | ||||
\(519\) | −9.28339 | − | 1.39925i | −0.407496 | − | 0.0614201i | ||||
\(520\) | −2.88501 | + | 12.6400i | −0.126516 | + | 0.554302i | ||||
\(521\) | −7.39090 | − | 5.03903i | −0.323801 | − | 0.220764i | 0.390499 | − | 0.920603i | \(-0.372303\pi\) |
−0.714300 | + | 0.699839i | \(0.753255\pi\) | |||||||
\(522\) | 0.333595 | + | 0.577804i | 0.0146011 | + | 0.0252898i | ||||
\(523\) | −8.07881 | + | 13.9929i | −0.353261 | + | 0.611867i | −0.986819 | − | 0.161829i | \(-0.948261\pi\) |
0.633557 | + | 0.773696i | \(0.281594\pi\) | |||||||
\(524\) | 17.3131 | − | 8.33755i | 0.756326 | − | 0.364227i | ||||
\(525\) | −55.6303 | − | 17.1597i | −2.42790 | − | 0.748909i | ||||
\(526\) | 0.507633 | + | 6.77389i | 0.0221338 | + | 0.295356i | ||||
\(527\) | 0.969598 | + | 4.24809i | 0.0422364 | + | 0.185050i | ||||
\(528\) | 4.71428 | − | 12.0118i | 0.205163 | − | 0.522746i | ||||
\(529\) | −1.60322 | + | 21.3935i | −0.0697053 | + | 0.930152i | ||||
\(530\) | 34.6886 | − | 5.22846i | 1.50678 | − | 0.227110i | ||||
\(531\) | 12.1364 | + | 11.2609i | 0.526675 | + | 0.488683i | ||||
\(532\) | 17.5242 | + | 8.43920i | 0.759770 | + | 0.365886i | ||||
\(533\) | 6.03884 | − | 4.11721i | 0.261571 | − | 0.178336i | ||||
\(534\) | −6.21952 | − | 15.8471i | −0.269145 | − | 0.685771i | ||||
\(535\) | −33.1412 | + | 10.2227i | −1.43282 | + | 0.441966i | ||||
\(536\) | 28.5356 | − | 26.4772i | 1.23255 | − | 1.14364i | ||||
\(537\) | −5.74907 | + | 7.20911i | −0.248091 | + | 0.311096i | ||||
\(538\) | −7.94477 | + | 9.96243i | −0.342523 | + | 0.429511i | ||||
\(539\) | −15.8655 | + | 14.7210i | −0.683376 | + | 0.634080i | ||||
\(540\) | 11.2408 | − | 3.46732i | 0.483726 | − | 0.149210i | ||||
\(541\) | 14.5841 | + | 37.1597i | 0.627019 | + | 1.59762i | 0.791452 | + | 0.611231i | \(0.209325\pi\) |
−0.164433 | + | 0.986388i | \(0.552579\pi\) | |||||||
\(542\) | −1.19245 | + | 0.812997i | −0.0512200 | + | 0.0349212i | ||||
\(543\) | −53.3909 | − | 25.7117i | −2.29122 | − | 1.10339i | ||||
\(544\) | 4.25631 | + | 3.94928i | 0.182488 | + | 0.169324i | ||||
\(545\) | 33.2487 | − | 5.01144i | 1.42422 | − | 0.214667i | ||||
\(546\) | 0.609589 | − | 8.13440i | 0.0260880 | − | 0.348120i | ||||
\(547\) | 9.97378 | − | 25.4128i | 0.426448 | − | 1.08657i | −0.542664 | − | 0.839950i | \(-0.682584\pi\) |
0.969112 | − | 0.246622i | \(-0.0793205\pi\) | |||||||
\(548\) | −2.59769 | − | 11.3812i | −0.110968 | − | 0.486182i | ||||
\(549\) | 1.69019 | + | 22.5540i | 0.0721355 | + | 0.962581i | ||||
\(550\) | 20.4553 | + | 6.30962i | 0.872216 | + | 0.269043i | ||||
\(551\) | −1.57447 | + | 0.758226i | −0.0670748 | + | 0.0323015i | ||||
\(552\) | −3.38478 | + | 5.86261i | −0.144066 | + | 0.249529i | ||||
\(553\) | 22.8768 | + | 39.6239i | 0.972823 | + | 1.68498i | ||||
\(554\) | −18.1919 | − | 12.4030i | −0.772899 | − | 0.526954i | ||||
\(555\) | −1.20106 | + | 5.26220i | −0.0509823 | + | 0.223368i | ||||
\(556\) | −4.35461 | − | 0.656351i | −0.184676 | − | 0.0278355i | ||||
\(557\) | −1.50498 | − | 1.88719i | −0.0637681 | − | 0.0799627i | 0.748924 | − | 0.662655i | \(-0.230571\pi\) |
−0.812693 | + | 0.582693i | \(0.801999\pi\) | |||||||
\(558\) | 6.07700 | 0.257260 | ||||||||
\(559\) | 9.21666 | + | 3.68378i | 0.389823 | + | 0.155807i | ||||
\(560\) | −16.9684 | −0.717044 | ||||||||
\(561\) | −5.83708 | − | 7.31946i | −0.246442 | − | 0.309028i | ||||
\(562\) | −2.98900 | − | 0.450520i | −0.126084 | − | 0.0190040i | ||||
\(563\) | 7.75200 | − | 33.9637i | 0.326708 | − | 1.43140i | −0.498656 | − | 0.866800i | \(-0.666173\pi\) |
0.825364 | − | 0.564601i | \(-0.190970\pi\) | |||||||
\(564\) | 0.868980 | + | 0.592460i | 0.0365906 | + | 0.0249471i | ||||
\(565\) | −5.97487 | − | 10.3488i | −0.251365 | − | 0.435377i | ||||
\(566\) | 10.3409 | − | 17.9109i | 0.434660 | − | 0.752853i | ||||
\(567\) | −34.5114 | + | 16.6198i | −1.44934 | + | 0.697967i | ||||
\(568\) | 18.8597 | + | 5.81746i | 0.791337 | + | 0.244095i | ||||
\(569\) | −2.28751 | − | 30.5247i | −0.0958974 | − | 1.27966i | −0.812822 | − | 0.582512i | \(-0.802070\pi\) |
0.716925 | − | 0.697150i | \(-0.245549\pi\) | |||||||
\(570\) | 4.42691 | + | 19.3956i | 0.185423 | + | 0.812391i | ||||
\(571\) | −13.5951 | + | 34.6398i | −0.568939 | + | 1.44963i | 0.299626 | + | 0.954057i | \(0.403138\pi\) |
−0.868565 | + | 0.495576i | \(0.834957\pi\) | |||||||
\(572\) | 0.720690 | − | 9.61694i | 0.0301336 | − | 0.402105i | ||||
\(573\) | 40.4260 | − | 6.09323i | 1.68882 | − | 0.254549i | ||||
\(574\) | −8.50992 | − | 7.89605i | −0.355197 | − | 0.329575i | ||||
\(575\) | 8.33712 | + | 4.01495i | 0.347682 | + | 0.167435i | ||||
\(576\) | 2.07911 | − | 1.41751i | 0.0866295 | − | 0.0590630i | ||||
\(577\) | −13.5321 | − | 34.4792i | −0.563348 | − | 1.43539i | −0.874499 | − | 0.485027i | \(-0.838810\pi\) |
0.311151 | − | 0.950361i | \(-0.399286\pi\) | |||||||
\(578\) | 0.658213 | − | 0.203032i | 0.0273780 | − | 0.00844501i | ||||
\(579\) | 22.7798 | − | 21.1366i | 0.946698 | − | 0.878408i | ||||
\(580\) | 1.60494 | − | 2.01253i | 0.0666416 | − | 0.0835659i | ||||
\(581\) | −36.2085 | + | 45.4041i | −1.50218 | + | 1.88368i | ||||
\(582\) | 6.00698 | − | 5.57367i | 0.248998 | − | 0.231036i | ||||
\(583\) | −57.6247 | + | 17.7749i | −2.38657 | + | 0.736159i | ||||
\(584\) | 12.4443 | + | 31.7076i | 0.514949 | + | 1.31207i | ||||
\(585\) | −8.93141 | + | 6.08933i | −0.369268 | + | 0.251763i | ||||
\(586\) | −0.917872 | − | 0.442024i | −0.0379169 | − | 0.0182598i | ||||
\(587\) | −13.3626 | − | 12.3987i | −0.551533 | − | 0.511747i | 0.354443 | − | 0.935078i | \(-0.384671\pi\) |
−0.905975 | + | 0.423330i | \(0.860861\pi\) | |||||||
\(588\) | 17.5230 | − | 2.64117i | 0.722638 | − | 0.108920i | ||||
\(589\) | −1.18949 | + | 15.8726i | −0.0490121 | + | 0.654021i | ||||
\(590\) | −7.25800 | + | 18.4931i | −0.298807 | + | 0.761348i | ||||
\(591\) | −4.02274 | − | 17.6248i | −0.165474 | − | 0.724987i | ||||
\(592\) | 0.0703167 | + | 0.938311i | 0.00289000 | + | 0.0385644i | ||||
\(593\) | −12.0055 | − | 3.70320i | −0.493006 | − | 0.152072i | 0.0382761 | − | 0.999267i | \(-0.487813\pi\) |
−0.531282 | + | 0.847195i | \(0.678290\pi\) | |||||||
\(594\) | 5.66637 | − | 2.72878i | 0.232494 | − | 0.111963i | ||||
\(595\) | −6.15544 | + | 10.6615i | −0.252348 | + | 0.437080i | ||||
\(596\) | −7.70561 | − | 13.3465i | −0.315634 | − | 0.546694i | ||||
\(597\) | −11.4404 | − | 7.79995i | −0.468225 | − | 0.319231i | ||||
\(598\) | −0.288517 | + | 1.26408i | −0.0117983 | + | 0.0516919i | ||||
\(599\) | 22.7007 | + | 3.42158i | 0.927525 | + | 0.139802i | 0.595396 | − | 0.803432i | \(-0.296995\pi\) |
0.332129 | + | 0.943234i | \(0.392233\pi\) | |||||||
\(600\) | −25.2547 | − | 31.6684i | −1.03102 | − | 1.29286i | ||||
\(601\) | 12.9797 | 0.529453 | 0.264727 | − | 0.964324i | \(-0.414718\pi\) | ||||
0.264727 | + | 0.964324i | \(0.414718\pi\) | |||||||
\(602\) | 2.44687 | − | 15.5741i | 0.0997271 | − | 0.634754i | ||||
\(603\) | 32.4557 | 1.32170 | ||||||||
\(604\) | 14.4989 | + | 18.1810i | 0.589950 | + | 0.739774i | ||||
\(605\) | −22.4716 | − | 3.38704i | −0.913599 | − | 0.137703i | ||||
\(606\) | −2.71378 | + | 11.8899i | −0.110240 | + | 0.482993i | ||||
\(607\) | −19.5176 | − | 13.3069i | −0.792196 | − | 0.540110i | 0.0982702 | − | 0.995160i | \(-0.468669\pi\) |
−0.890466 | + | 0.455050i | \(0.849621\pi\) | |||||||
\(608\) | 10.6051 | + | 18.3685i | 0.430092 | + | 0.744941i | ||||
\(609\) | −1.87141 | + | 3.24138i | −0.0758334 | + | 0.131347i | ||||
\(610\) | −24.4519 | + | 11.7754i | −0.990029 | + | 0.476773i | ||||
\(611\) | 0.444847 | + | 0.137217i | 0.0179966 | + | 0.00555122i | ||||
\(612\) | 0.230825 | + | 3.08015i | 0.00933056 | + | 0.124508i | ||||
\(613\) | −4.42322 | − | 19.3794i | −0.178652 | − | 0.782727i | −0.982253 | − | 0.187559i | \(-0.939943\pi\) |
0.803601 | − | 0.595168i | \(-0.202915\pi\) | |||||||
\(614\) | −0.307294 | + | 0.782973i | −0.0124014 | + | 0.0315982i | ||||
\(615\) | −2.85302 | + | 38.0709i | −0.115045 | + | 1.53517i | ||||
\(616\) | −35.0043 | + | 5.27605i | −1.41036 | + | 0.212578i | ||||
\(617\) | −30.7312 | − | 28.5144i | −1.23719 | − | 1.14794i | −0.983548 | − | 0.180646i | \(-0.942181\pi\) |
−0.253642 | − | 0.967298i | \(-0.581628\pi\) | |||||||
\(618\) | 6.37736 | + | 3.07118i | 0.256535 | + | 0.123541i | ||||
\(619\) | −5.48028 | + | 3.73639i | −0.220271 | + | 0.150178i | −0.668429 | − | 0.743776i | \(-0.733033\pi\) |
0.448157 | + | 0.893955i | \(0.352080\pi\) | |||||||
\(620\) | −8.56581 | − | 21.8253i | −0.344011 | − | 0.876526i | ||||
\(621\) | 2.59791 | − | 0.801348i | 0.104250 | − | 0.0321570i | ||||
\(622\) | −3.14862 | + | 2.92149i | −0.126248 | + | 0.117141i | ||||
\(623\) | 23.9934 | − | 30.0867i | 0.961274 | − | 1.20540i | ||||
\(624\) | −2.91580 | + | 3.65630i | −0.116725 | + | 0.146369i | ||||
\(625\) | 5.01175 | − | 4.65023i | 0.200470 | − | 0.186009i | ||||
\(626\) | −15.4497 | + | 4.76561i | −0.617496 | + | 0.190472i | ||||
\(627\) | −12.4942 | − | 31.8347i | −0.498971 | − | 1.27136i | ||||
\(628\) | 6.72747 | − | 4.58671i | 0.268455 | − | 0.183030i | ||||
\(629\) | 0.615066 | + | 0.296200i | 0.0245243 | + | 0.0118103i | ||||
\(630\) | 12.5861 | + | 11.6782i | 0.501443 | + | 0.465271i | ||||
\(631\) | −28.6091 | + | 4.31213i | −1.13891 | + | 0.171663i | −0.691302 | − | 0.722566i | \(-0.742963\pi\) |
−0.447609 | + | 0.894229i | \(0.647724\pi\) | |||||||
\(632\) | −2.37896 | + | 31.7450i | −0.0946300 | + | 1.26275i | ||||
\(633\) | −7.30519 | + | 18.6133i | −0.290355 | + | 0.739813i | ||||
\(634\) | 2.56512 | + | 11.2385i | 0.101874 | + | 0.446339i | ||||
\(635\) | 1.19632 | + | 15.9637i | 0.0474744 | + | 0.633502i | ||||
\(636\) | 47.1820 | + | 14.5537i | 1.87089 | + | 0.577093i | ||||
\(637\) | 7.06709 | − | 3.40333i | 0.280008 | − | 0.134845i | ||||
\(638\) | 0.688119 | − | 1.19186i | 0.0272429 | − | 0.0471860i | ||||
\(639\) | 8.22774 | + | 14.2509i | 0.325484 | + | 0.563755i | ||||
\(640\) | −31.3476 | − | 21.3724i | −1.23912 | − | 0.844819i | ||||
\(641\) | 0.718095 | − | 3.14618i | 0.0283631 | − | 0.124267i | −0.958764 | − | 0.284202i | \(-0.908271\pi\) |
0.987128 | + | 0.159935i | \(0.0511285\pi\) | |||||||
\(642\) | 15.0127 | + | 2.26279i | 0.592502 | + | 0.0893054i | ||||
\(643\) | −13.2795 | − | 16.6520i | −0.523694 | − | 0.656691i | 0.447695 | − | 0.894186i | \(-0.352245\pi\) |
−0.971389 | + | 0.237495i | \(0.923674\pi\) | |||||||
\(644\) | −6.62156 | −0.260926 | ||||||||
\(645\) | −45.0610 | + | 25.6425i | −1.77428 | + | 1.00967i | ||||
\(646\) | 2.51621 | 0.0989989 | ||||||||
\(647\) | −7.96585 | − | 9.98885i | −0.313170 | − | 0.392702i | 0.600189 | − | 0.799858i | \(-0.295092\pi\) |
−0.913359 | + | 0.407156i | \(0.866521\pi\) | |||||||
\(648\) | −26.3536 | − | 3.97217i | −1.03527 | − | 0.156042i | ||||
\(649\) | 7.59923 | − | 33.2944i | 0.298296 | − | 1.30692i | ||||
\(650\) | −6.41001 | − | 4.37027i | −0.251421 | − | 0.171416i | ||||
\(651\) | 17.0455 | + | 29.5236i | 0.668064 | + | 1.15712i | ||||
\(652\) | −5.62399 | + | 9.74104i | −0.220253 | + | 0.381489i | ||||
\(653\) | −18.4367 | + | 8.87865i | −0.721484 | + | 0.347449i | −0.758329 | − | 0.651872i | \(-0.773984\pi\) |
0.0368443 | + | 0.999321i | \(0.488269\pi\) | |||||||
\(654\) | −14.0653 | − | 4.33856i | −0.549996 | − | 0.169651i | ||||
\(655\) | 3.32021 | + | 44.3051i | 0.129731 | + | 1.73114i | ||||
\(656\) | 1.48098 | + | 6.48858i | 0.0578224 | + | 0.253337i | ||||
\(657\) | −10.3755 | + | 26.4364i | −0.404788 | + | 1.03138i | ||||
\(658\) | 0.0552568 | − | 0.737351i | 0.00215413 | − | 0.0287449i | ||||
\(659\) | −13.4859 | + | 2.03267i | −0.525334 | + | 0.0791814i | −0.406355 | − | 0.913715i | \(-0.633200\pi\) |
−0.118979 | + | 0.992897i | \(0.537962\pi\) | |||||||
\(660\) | 36.9275 | + | 34.2637i | 1.43740 | + | 1.33371i | ||||
\(661\) | 11.1901 | + | 5.38886i | 0.435244 | + | 0.209603i | 0.638659 | − | 0.769490i | \(-0.279490\pi\) |
−0.203414 | + | 0.979093i | \(0.565204\pi\) | |||||||
\(662\) | 2.90407 | − | 1.97996i | 0.112870 | − | 0.0769533i | ||||
\(663\) | 1.23958 | + | 3.15841i | 0.0481415 | + | 0.122662i | ||||
\(664\) | −38.6110 | + | 11.9099i | −1.49840 | + | 0.462194i | ||||
\(665\) | −32.9661 | + | 30.5881i | −1.27837 | + | 1.18616i | ||||
\(666\) | 0.593622 | − | 0.744378i | 0.0230024 | − | 0.0288441i | ||||
\(667\) | 0.370926 | − | 0.465126i | 0.0143623 | − | 0.0180098i | ||||
\(668\) | −15.2839 | + | 14.1814i | −0.591352 | + | 0.548695i | ||||
\(669\) | −2.66272 | + | 0.821340i | −0.102947 | + | 0.0317548i | ||||
\(670\) | 14.2283 | + | 36.2531i | 0.549687 | + | 1.40058i | ||||
\(671\) | 38.5469 | − | 26.2808i | 1.48808 | − | 1.01456i | ||||
\(672\) | 40.9286 | + | 19.7102i | 1.57885 | + | 0.760336i | ||||
\(673\) | 14.0095 | + | 12.9989i | 0.540027 | + | 0.501072i | 0.902364 | − | 0.430975i | \(-0.141830\pi\) |
−0.362337 | + | 0.932047i | \(0.618021\pi\) | |||||||
\(674\) | −9.34505 | + | 1.40854i | −0.359958 | + | 0.0542549i | ||||
\(675\) | −1.21565 | + | 16.2217i | −0.0467903 | + | 0.624374i | ||||
\(676\) | 5.96850 | − | 15.2075i | 0.229558 | − | 0.584904i | ||||
\(677\) | −6.60821 | − | 28.9524i | −0.253974 | − | 1.11273i | −0.927575 | − | 0.373637i | \(-0.878110\pi\) |
0.673601 | − | 0.739095i | \(-0.264747\pi\) | |||||||
\(678\) | 0.390918 | + | 5.21644i | 0.0150131 | + | 0.200336i | ||||
\(679\) | 17.7006 | + | 5.45992i | 0.679288 | + | 0.209533i | ||||
\(680\) | −7.71728 | + | 3.71645i | −0.295944 | + | 0.142519i | ||||
\(681\) | 11.4204 | − | 19.7808i | 0.437632 | − | 0.758001i | ||||
\(682\) | −6.26763 | − | 10.8558i | −0.240000 | − | 0.415692i | ||||
\(683\) | −12.6905 | − | 8.65223i | −0.485588 | − | 0.331068i | 0.295655 | − | 0.955295i | \(-0.404462\pi\) |
−0.781244 | + | 0.624226i | \(0.785414\pi\) | |||||||
\(684\) | −2.51075 | + | 11.0003i | −0.0960009 | + | 0.420607i | ||||
\(685\) | 26.6897 | + | 4.02283i | 1.01976 | + | 0.153704i | ||||
\(686\) | 2.72492 | + | 3.41694i | 0.104038 | + | 0.130459i | ||||
\(687\) | 17.6381 | 0.672935 | ||||||||
\(688\) | −6.18879 | + | 6.58704i | −0.235946 | + | 0.251129i | ||||
\(689\) | 21.8553 | 0.832620 | ||||||||
\(690\) | −4.22272 | − | 5.29512i | −0.160756 | − | 0.201582i | ||||
\(691\) | 39.3167 | + | 5.92604i | 1.49568 | + | 0.225437i | 0.845348 | − | 0.534215i | \(-0.179393\pi\) |
0.650329 | + | 0.759652i | \(0.274631\pi\) | |||||||
\(692\) | 1.42174 | − | 6.22907i | 0.0540466 | − | 0.236794i | ||||
\(693\) | −24.3862 | − | 16.6262i | −0.926354 | − | 0.631577i | ||||
\(694\) | 12.3398 | + | 21.3732i | 0.468413 | + | 0.811316i | ||||
\(695\) | 5.09099 | − | 8.81785i | 0.193112 | − | 0.334480i | ||||
\(696\) | −2.34625 | + | 1.12989i | −0.0889344 | + | 0.0428285i | ||||
\(697\) | 4.61413 | + | 1.42327i | 0.174773 | + | 0.0539102i | ||||
\(698\) | 0.959892 | + | 12.8089i | 0.0363324 | + | 0.484823i | ||||
\(699\) | −6.75766 | − | 29.6073i | −0.255598 | − | 1.11985i | ||||
\(700\) | 14.4748 | − | 36.8811i | 0.547095 | − | 1.39398i | ||||
\(701\) | −0.905970 | + | 12.0893i | −0.0342180 | + | 0.456608i | 0.953609 | + | 0.301049i | \(0.0973368\pi\) |
−0.987827 | + | 0.155559i | \(0.950282\pi\) | |||||||
\(702\) | −2.25387 | + | 0.339716i | −0.0850669 | + | 0.0128218i | ||||
\(703\) | 1.82806 | + | 1.69619i | 0.0689467 | + | 0.0639732i | ||||
\(704\) | −4.67654 | − | 2.25210i | −0.176254 | − | 0.0848794i | ||||
\(705\) | −2.00916 | + | 1.36982i | −0.0756694 | + | 0.0515905i | ||||
\(706\) | −5.10067 | − | 12.9963i | −0.191966 | − | 0.489122i | ||||
\(707\) | −26.3434 | + | 8.12585i | −0.990744 | + | 0.305604i | ||||
\(708\) | −20.4975 | + | 19.0189i | −0.770345 | + | 0.714776i | ||||
\(709\) | −20.1014 | + | 25.2064i | −0.754924 | + | 0.946645i | −0.999737 | − | 0.0229253i | \(-0.992702\pi\) |
0.244813 | + | 0.969570i | \(0.421273\pi\) | |||||||
\(710\) | −12.3113 | + | 15.4379i | −0.462034 | + | 0.579372i | ||||
\(711\) | −19.4565 | + | 18.0530i | −0.729677 | + | 0.677041i | ||||
\(712\) | 25.5853 | − | 7.89203i | 0.958851 | − | 0.295766i | ||||
\(713\) | −1.97969 | − | 5.04416i | −0.0741398 | − | 0.188905i | ||||
\(714\) | 4.45273 | − | 3.03582i | 0.166639 | − | 0.113613i | ||||
\(715\) | 20.0895 | + | 9.67457i | 0.751303 | + | 0.361808i | ||||
\(716\) | −4.60012 | − | 4.26829i | −0.171914 | − | 0.159513i | ||||
\(717\) | 5.03444 | − | 0.758820i | 0.188015 | − | 0.0283386i | ||||
\(718\) | −1.88732 | + | 25.1845i | −0.0704342 | + | 0.939879i | ||||
\(719\) | 1.53986 | − | 3.92351i | 0.0574272 | − | 0.146322i | −0.899281 | − | 0.437372i | \(-0.855909\pi\) |
0.956708 | + | 0.291050i | \(0.0940046\pi\) | |||||||
\(720\) | −2.19036 | − | 9.59659i | −0.0816298 | − | 0.357644i | ||||
\(721\) | 1.19572 | + | 15.9558i | 0.0445310 | + | 0.594225i | ||||
\(722\) | −3.72280 | − | 1.14833i | −0.138548 | − | 0.0427364i | ||||
\(723\) | −5.97226 | + | 2.87609i | −0.222111 | + | 0.106963i | ||||
\(724\) | 20.1648 | − | 34.9264i | 0.749417 | − | 1.29803i | ||||
\(725\) | 1.77984 | + | 3.08277i | 0.0661015 | + | 0.114491i | ||||
\(726\) | 8.21956 | + | 5.60400i | 0.305056 | + | 0.207984i | ||||
\(727\) | 2.63200 | − | 11.5315i | 0.0976155 | − | 0.427681i | −0.902379 | − | 0.430943i | \(-0.858181\pi\) |
0.999995 | + | 0.00326159i | \(0.00103820\pi\) | |||||||
\(728\) | 12.6862 | + | 1.91214i | 0.470183 | + | 0.0708687i | ||||
\(729\) | −4.68816 | − | 5.87876i | −0.173635 | − | 0.217732i | ||||
\(730\) | −34.0781 | −1.26129 | ||||||||
\(731\) | 1.89371 | + | 6.27804i | 0.0700415 | + | 0.232202i | ||||
\(732\) | −38.1990 | −1.41187 | ||||||||
\(733\) | −1.05776 | − | 1.32639i | −0.0390692 | − | 0.0489913i | 0.761913 | − | 0.647679i | \(-0.224260\pi\) |
−0.800982 | + | 0.598688i | \(0.795689\pi\) | |||||||
\(734\) | −14.4414 | − | 2.17669i | −0.533041 | − | 0.0803430i | ||||
\(735\) | −9.11724 | + | 39.9452i | −0.336294 | + | 1.47340i | ||||
\(736\) | −5.96597 | − | 4.06753i | −0.219909 | − | 0.149931i | ||||
\(737\) | −33.4738 | − | 57.9783i | −1.23302 | − | 2.13566i | ||||
\(738\) | 3.36717 | − | 5.83211i | 0.123947 | − | 0.214683i | ||||
\(739\) | −34.8416 | + | 16.7788i | −1.28167 | + | 0.617219i | −0.945818 | − | 0.324697i | \(-0.894738\pi\) |
−0.335850 | + | 0.941916i | \(0.609023\pi\) | |||||||
\(740\) | −3.51014 | − | 1.08274i | −0.129035 | − | 0.0398022i | ||||
\(741\) | 0.926227 | + | 12.3596i | 0.0340258 | + | 0.454043i | ||||
\(742\) | −7.72449 | − | 33.8432i | −0.283575 | − | 1.24242i | ||||
\(743\) | 9.19081 | − | 23.4178i | 0.337178 | − | 0.859116i | −0.657247 | − | 0.753675i | \(-0.728279\pi\) |
0.994426 | − | 0.105441i | \(-0.0336254\pi\) | |||||||
\(744\) | −1.77256 | + | 23.6531i | −0.0649851 | + | 0.867165i | ||||
\(745\) | 35.2342 | − | 5.31070i | 1.29088 | − | 0.194569i | ||||
\(746\) | 3.13164 | + | 2.90574i | 0.114657 | + | 0.106387i | ||||
\(747\) | −30.3526 | − | 14.6170i | −1.11054 | − | 0.534810i | ||||
\(748\) | 5.26426 | − | 3.58911i | 0.192480 | − | 0.131231i | ||||
\(749\) | 12.5383 | + | 31.9470i | 0.458138 | + | 1.16732i | ||||
\(750\) | 12.7032 | − | 3.91840i | 0.463854 | − | 0.143080i | ||||
\(751\) | −25.8767 | + | 24.0100i | −0.944253 | + | 0.876139i | −0.992444 | − | 0.122699i | \(-0.960845\pi\) |
0.0481906 | + | 0.998838i | \(0.484655\pi\) | |||||||
\(752\) | −0.264306 | + | 0.331429i | −0.00963823 | + | 0.0120860i | ||||
\(753\) | 36.7548 | − | 46.0890i | 1.33942 | − | 1.67958i | ||||
\(754\) | −0.365628 | + | 0.339253i | −0.0133154 | + | 0.0123549i | ||||
\(755\) | −51.3775 | + | 15.8479i | −1.86982 | + | 0.576763i | ||||
\(756\) | −4.25271 | − | 10.8357i | −0.154669 | − | 0.394091i | ||||
\(757\) | −20.5724 | + | 14.0260i | −0.747716 | + | 0.509784i | −0.876212 | − | 0.481926i | \(-0.839937\pi\) |
0.128496 | + | 0.991710i | \(0.458985\pi\) | |||||||
\(758\) | 15.5393 | + | 7.48331i | 0.564411 | + | 0.271806i | ||||
\(759\) | 8.53449 | + | 7.91885i | 0.309782 | + | 0.287436i | ||||
\(760\) | −30.9400 | + | 4.66346i | −1.12231 | + | 0.169161i | ||||
\(761\) | 3.47115 | − | 46.3193i | 0.125829 | − | 1.67907i | −0.475225 | − | 0.879864i | \(-0.657633\pi\) |
0.601055 | − | 0.799208i | \(-0.294747\pi\) | |||||||
\(762\) | 2.56024 | − | 6.52339i | 0.0927477 | − | 0.236317i | ||||
\(763\) | −7.40387 | − | 32.4385i | −0.268038 | − | 1.17435i | ||||
\(764\) | 2.07922 | + | 27.7452i | 0.0752234 | + | 1.00379i | ||||
\(765\) | −6.82428 | − | 2.10501i | −0.246732 | − | 0.0761069i | ||||
\(766\) | 15.0700 | − | 7.25732i | 0.544501 | − | 0.262218i | ||||
\(767\) | −6.18843 | + | 10.7187i | −0.223451 | + | 0.387029i | ||||
\(768\) | 11.0901 | + | 19.2086i | 0.400180 | + | 0.693132i | ||||
\(769\) | 36.4025 | + | 24.8188i | 1.31271 | + | 0.894989i | 0.998521 | − | 0.0543714i | \(-0.0173155\pi\) |
0.314188 | + | 0.949361i | \(0.398268\pi\) | |||||||
\(770\) | 7.88083 | − | 34.5282i | 0.284005 | − | 1.24431i | ||||
\(771\) | −5.10111 | − | 0.768869i | −0.183712 | − | 0.0276901i | ||||
\(772\) | 13.1859 | + | 16.5347i | 0.474573 | + | 0.595095i | ||||
\(773\) | −33.9136 | −1.21979 | −0.609893 | − | 0.792484i | \(-0.708788\pi\) | ||||
−0.609893 | + | 0.792484i | \(0.708788\pi\) | |||||||
\(774\) | 9.12392 | − | 0.626534i | 0.327952 | − | 0.0225203i | ||||
\(775\) | 32.4228 | 1.16466 | ||||||||
\(776\) | 8.03563 | + | 10.0764i | 0.288462 | + | 0.361720i | ||||
\(777\) | 5.28144 | + | 0.796048i | 0.189470 | + | 0.0285581i | ||||
\(778\) | −3.80253 | + | 16.6600i | −0.136327 | + | 0.597289i | ||||
\(779\) | 14.5739 | + | 9.93633i | 0.522165 | + | 0.356006i | ||||
\(780\) | −9.12844 | − | 15.8109i | −0.326851 | − | 0.566122i | ||||
\(781\) | 16.9717 | − | 29.3958i | 0.607294 | − | 1.05186i | ||||
\(782\) | −0.771772 | + | 0.371666i | −0.0275985 | + | 0.0132907i | ||||
\(783\) | 0.999374 | + | 0.308266i | 0.0357147 | + | 0.0110165i | ||||
\(784\) | 0.533772 | + | 7.12269i | 0.0190633 | + | 0.254382i | ||||
\(785\) | 4.18912 | + | 18.3537i | 0.149516 | + | 0.655072i | ||||
\(786\) | 7.10559 | − | 18.1047i | 0.253448 | − | 0.645775i | ||||
\(787\) | −0.161937 | + | 2.16090i | −0.00577243 | + | 0.0770277i | −0.999346 | − | 0.0361605i | \(-0.988487\pi\) |
0.993574 | + | 0.113188i | \(0.0361063\pi\) | |||||||
\(788\) | 12.1658 | − | 1.83369i | 0.433387 | − | 0.0653226i | ||||
\(789\) | −16.2048 | − | 15.0358i | −0.576905 | − | 0.535289i | ||||
\(790\) | −28.6948 | − | 13.8187i | −1.02092 | − | 0.491647i | ||||
\(791\) | −9.77010 | + | 6.66114i | −0.347385 | + | 0.236843i | ||||
\(792\) | −7.50243 | − | 19.1159i | −0.266587 | − | 0.679253i | ||||
\(793\) | −16.1569 | + | 4.98375i | −0.573749 | + | 0.176978i | ||||
\(794\) | 6.41668 | − | 5.95381i | 0.227719 | − | 0.211293i | ||||
\(795\) | −71.1783 | + | 89.2547i | −2.52443 | + | 3.16554i | ||||
\(796\) | 5.87532 | − | 7.36742i | 0.208245 | − | 0.261131i | ||||
\(797\) | −1.22757 | + | 1.13902i | −0.0434827 | + | 0.0403461i | −0.701615 | − | 0.712556i | \(-0.747537\pi\) |
0.658132 | + | 0.752902i | \(0.271347\pi\) | |||||||
\(798\) | 18.8117 | − | 5.80265i | 0.665928 | − | 0.205412i | ||||
\(799\) | 0.112363 | + | 0.286297i | 0.00397513 | + | 0.0101285i | ||||
\(800\) | 35.6972 | − | 24.3379i | 1.26209 | − | 0.860475i | ||||
\(801\) | 20.1130 | + | 9.68589i | 0.710657 | + | 0.342234i | ||||
\(802\) | −15.3193 | − | 14.2142i | −0.540943 | − | 0.501922i | ||||
\(803\) | 57.9265 | − | 8.73101i | 2.04418 | − | 0.308111i | ||||
\(804\) | −4.09636 | + | 54.6622i | −0.144468 | + | 1.92779i | ||||
\(805\) | 5.59325 | − | 14.2514i | 0.197136 | − | 0.502295i | ||||
\(806\) | 1.01092 | + | 4.42912i | 0.0356080 | + | 0.156009i | ||||
\(807\) | −3.09886 | − | 41.3514i | −0.109085 | − | 1.45564i | ||||
\(808\) | −18.3289 | − | 5.65372i | −0.644809 | − | 0.198897i | ||||
\(809\) | −40.1149 | + | 19.3183i | −1.41036 | + | 0.679195i | −0.975235 | − | 0.221173i | \(-0.929011\pi\) |
−0.435129 | + | 0.900368i | \(0.643297\pi\) | |||||||
\(810\) | 13.3319 | − | 23.0915i | 0.468434 | − | 0.811351i | ||||
\(811\) | −11.4175 | − | 19.7757i | −0.400923 | − | 0.694420i | 0.592914 | − | 0.805266i | \(-0.297977\pi\) |
−0.993838 | + | 0.110846i | \(0.964644\pi\) | |||||||
\(812\) | −2.10460 | − | 1.43489i | −0.0738571 | − | 0.0503549i | ||||
\(813\) | 1.04510 | − | 4.57889i | 0.0366533 | − | 0.160589i | ||||
\(814\) | −1.94199 | − | 0.292707i | −0.0680666 | − | 0.0102594i | ||||
\(815\) | −16.2147 | − | 20.3326i | −0.567977 | − | 0.712220i | ||||
\(816\) | −3.08964 | −0.108159 | ||||||||
\(817\) | −0.149424 | + | 23.9536i | −0.00522769 | + | 0.838029i | ||||
\(818\) | −1.08339 | −0.0378800 | ||||||||
\(819\) | 6.66928 | + | 8.36301i | 0.233043 | + | 0.292227i | ||||
\(820\) | −25.6920 | − | 3.87244i | −0.897202 | − | 0.135231i | ||||
\(821\) | −2.93904 | + | 12.8768i | −0.102573 | + | 0.449403i | 0.897393 | + | 0.441231i | \(0.145458\pi\) |
−0.999967 | + | 0.00817131i | \(0.997399\pi\) | |||||||
\(822\) | −9.76246 | − | 6.65593i | −0.340505 | − | 0.232152i | ||||
\(823\) | 19.3881 | + | 33.5812i | 0.675826 | + | 1.17057i | 0.976227 | + | 0.216753i | \(0.0695465\pi\) |
−0.300400 | + | 0.953813i | \(0.597120\pi\) | |||||||
\(824\) | −5.56634 | + | 9.64119i | −0.193913 | + | 0.335867i | ||||
\(825\) | −62.7632 | + | 30.2252i | −2.18514 | + | 1.05231i | ||||
\(826\) | 18.7853 | + | 5.79448i | 0.653623 | + | 0.201616i | ||||
\(827\) | 3.95600 | + | 52.7891i | 0.137564 | + | 1.83566i | 0.458661 | + | 0.888611i | \(0.348329\pi\) |
−0.321097 | + | 0.947046i | \(0.604052\pi\) | |||||||
\(828\) | −0.854744 | − | 3.74488i | −0.0297044 | − | 0.130143i | ||||
\(829\) | 16.6800 | − | 42.5000i | 0.579321 | − | 1.47609i | −0.277630 | − | 0.960688i | \(-0.589549\pi\) |
0.856951 | − | 0.515398i | \(-0.172356\pi\) | |||||||
\(830\) | 3.02096 | − | 40.3119i | 0.104859 | − | 1.39925i | ||||
\(831\) | 70.8513 | − | 10.6791i | 2.45780 | − | 0.370454i | ||||
\(832\) | 1.37899 | + | 1.27952i | 0.0478079 | + | 0.0443593i | ||||
\(833\) | 4.66895 | + | 2.24845i | 0.161769 | + | 0.0779041i | ||||
\(834\) | −3.68272 | + | 2.51084i | −0.127522 | + | 0.0869432i | ||||
\(835\) | −17.6118 | − | 44.8741i | −0.609481 | − | 1.55293i | ||||
\(836\) | 22.2403 | − | 6.86021i | 0.769196 | − | 0.237265i | ||||
\(837\) | 6.98295 | − | 6.47923i | 0.241366 | − | 0.223955i | ||||
\(838\) | 16.6291 | − | 20.8522i | 0.574443 | − | 0.720329i | ||||
\(839\) | −15.8922 | + | 19.9282i | −0.548661 | + | 0.687999i | −0.976417 | − | 0.215895i | \(-0.930733\pi\) |
0.427755 | + | 0.903895i | \(0.359304\pi\) | |||||||
\(840\) | −49.1255 | + | 45.5818i | −1.69499 | + | 1.57272i | ||||
\(841\) | −27.4929 | + | 8.48044i | −0.948032 | + | 0.292429i | ||||
\(842\) | −1.28023 | − | 3.26198i | −0.0441197 | − | 0.112415i | ||||
\(843\) | 8.12763 | − | 5.54132i | 0.279930 | − | 0.190853i | ||||
\(844\) | −12.2605 | − | 5.90435i | −0.422024 | − | 0.203236i | ||||
\(845\) | 27.6890 | + | 25.6916i | 0.952530 | + | 0.883819i | ||||
\(846\) | 0.424147 | − | 0.0639299i | 0.0145825 | − | 0.00219795i | ||||
\(847\) | −1.68051 | + | 22.4249i | −0.0577431 | + | 0.770528i | ||||
\(848\) | −7.27083 | + | 18.5258i | −0.249681 | + | 0.636178i | ||||
\(849\) | 14.9766 | + | 65.6167i | 0.513995 | + | 2.25196i | ||||
\(850\) | −0.383025 | − | 5.11112i | −0.0131377 | − | 0.175310i | ||||
\(851\) | −0.811246 | − | 0.250236i | −0.0278092 | − | 0.00857799i | ||||
\(852\) | −25.0399 | + | 12.0586i | −0.857852 | + | 0.413120i | ||||
\(853\) | 11.6848 | − | 20.2387i | 0.400081 | − | 0.692960i | −0.593654 | − | 0.804720i | \(-0.702315\pi\) |
0.993735 | + | 0.111760i | \(0.0356487\pi\) | |||||||
\(854\) | 13.4279 | + | 23.2578i | 0.459493 | + | 0.795865i | ||||
\(855\) | −21.5548 | − | 14.6958i | −0.737157 | − | 0.502585i | ||||
\(856\) | −5.31343 | + | 23.2797i | −0.181609 | + | 0.795683i | ||||
\(857\) | 45.9157 | + | 6.92067i | 1.56845 | + | 0.236406i | 0.875008 | − | 0.484108i | \(-0.160856\pi\) |
0.693441 | + | 0.720514i | \(0.256094\pi\) | |||||||
\(858\) | −6.08582 | − | 7.63138i | −0.207767 | − | 0.260531i | ||||
\(859\) | −6.94037 | −0.236802 | −0.118401 | − | 0.992966i | \(-0.537777\pi\) | ||||
−0.118401 | + | 0.992966i | \(0.537777\pi\) | |||||||
\(860\) | −15.1107 | − | 31.8851i | −0.515272 | − | 1.08727i | ||||
\(861\) | 37.7785 | 1.28749 | ||||||||
\(862\) | 0.624212 | + | 0.782737i | 0.0212607 | + | 0.0266601i | ||||
\(863\) | −27.6823 | − | 4.17244i | −0.942317 | − | 0.142031i | −0.340123 | − | 0.940381i | \(-0.610469\pi\) |
−0.602194 | + | 0.798350i | \(0.705707\pi\) | |||||||
\(864\) | 2.82457 | − | 12.3753i | 0.0960939 | − | 0.421015i | ||||
\(865\) | 12.2057 | + | 8.32168i | 0.415005 | + | 0.282945i | ||||
\(866\) | 7.59930 | + | 13.1624i | 0.258235 | + | 0.447275i | ||||
\(867\) | −1.12079 | + | 1.94127i | −0.0380642 | + | 0.0659291i | ||||
\(868\) | −20.9033 | + | 10.0665i | −0.709504 | + | 0.341679i | ||||
\(869\) | 52.3164 | + | 16.1375i | 1.77471 | + | 0.547426i | ||||
\(870\) | −0.194698 | − | 2.59807i | −0.00660089 | − | 0.0880828i | ||||
\(871\) | 5.39905 | + | 23.6548i | 0.182940 | + | 0.801511i | ||||
\(872\) | 8.45769 | − | 21.5498i | 0.286414 | − | 0.729770i | ||||
\(873\) | −0.803017 | + | 10.7155i | −0.0271780 | + | 0.362665i | ||||
\(874\) | −3.09418 | + | 0.466373i | −0.104662 | + | 0.0157753i | ||||
\(875\) | 22.0285 | + | 20.4395i | 0.744701 | + | 0.690981i | ||||
\(876\) | −43.2149 | − | 20.8112i | −1.46009 | − | 0.703145i | ||||
\(877\) | 34.7495 | − | 23.6918i | 1.17341 | − | 0.800017i | 0.190065 | − | 0.981772i | \(-0.439130\pi\) |
0.983344 | + | 0.181755i | \(0.0581777\pi\) | |||||||
\(878\) | 9.58506 | + | 24.4223i | 0.323480 | + | 0.824214i | ||||
\(879\) | 3.16803 | − | 0.977209i | 0.106855 | − | 0.0329604i | ||||
\(880\) | −14.8841 | + | 13.8104i | −0.501743 | + | 0.465549i | ||||
\(881\) | −10.5507 | + | 13.2302i | −0.355463 | + | 0.445737i | −0.927125 | − | 0.374753i | \(-0.877728\pi\) |
0.571662 | + | 0.820490i | \(0.306299\pi\) | |||||||
\(882\) | 4.50617 | − | 5.65055i | 0.151731 | − | 0.190264i | ||||
\(883\) | −12.0358 | + | 11.1676i | −0.405037 | + | 0.375819i | −0.856219 | − | 0.516613i | \(-0.827193\pi\) |
0.451183 | + | 0.892432i | \(0.351002\pi\) | |||||||
\(884\) | −2.20652 | + | 0.680620i | −0.0742132 | + | 0.0228917i | ||||
\(885\) | −23.6195 | − | 60.1815i | −0.793961 | − | 2.02298i | ||||
\(886\) | 8.24402 | − | 5.62068i | 0.276963 | − | 0.188830i | ||||
\(887\) | 22.4935 | + | 10.8323i | 0.755258 | + | 0.363713i | 0.771562 | − | 0.636154i | \(-0.219476\pi\) |
−0.0163040 | + | 0.999867i | \(0.505190\pi\) | |||||||
\(888\) | 2.72415 | + | 2.52764i | 0.0914163 | + | 0.0848220i | ||||
\(889\) | 15.6642 | − | 2.36099i | 0.525360 | − | 0.0791852i | ||||
\(890\) | −2.00182 | + | 26.7124i | −0.0671012 | + | 0.895403i | ||||
\(891\) | −16.7456 | + | 42.6670i | −0.560997 | + | 1.42940i | ||||
\(892\) | −0.421986 | − | 1.84884i | −0.0141291 | − | 0.0619038i | ||||
\(893\) | 0.0839587 | + | 1.12035i | 0.00280957 | + | 0.0374911i | ||||
\(894\) | −14.9052 | − | 4.59764i | −0.498504 | − | 0.153768i | ||||
\(895\) | 13.0722 | − | 6.29525i | 0.436956 | − | 0.210427i | ||||
\(896\) | −18.7717 | + | 32.5135i | −0.627118 | + | 1.08620i | ||||
\(897\) | −2.10972 | − | 3.65414i | −0.0704414 | − | 0.122008i | ||||
\(898\) | 2.10965 | + | 1.43834i | 0.0704000 | + | 0.0479979i | ||||
\(899\) | 0.463845 | − | 2.03224i | 0.0154701 | − | 0.0677789i | ||||
\(900\) | 22.7269 | + | 3.42552i | 0.757562 | + | 0.114184i | ||||
\(901\) | 9.00252 | + | 11.2888i | 0.299917 | + | 0.376085i | ||||
\(902\) | −13.8912 | −0.462525 | ||||||||
\(903\) | 28.6357 | + | 42.5689i | 0.952935 | + | 1.41660i | ||||
\(904\) | −8.22733 | −0.273637 | ||||||||
\(905\) | 58.1377 | + | 72.9023i | 1.93256 | + | 2.42335i | ||||
\(906\) | 23.2736 | + | 3.50793i | 0.773213 | + | 0.116543i | ||||
\(907\) | 10.9857 | − | 48.1316i | 0.364775 | − | 1.59818i | −0.376126 | − | 0.926568i | \(-0.622744\pi\) |
0.740901 | − | 0.671614i | \(-0.234399\pi\) | |||||||
\(908\) | 12.8435 | + | 8.75656i | 0.426227 | + | 0.290597i | ||||
\(909\) | −7.99617 | − | 13.8498i | −0.265216 | − | 0.459368i | ||||
\(910\) | −6.41775 | + | 11.1159i | −0.212746 | + | 0.368487i | ||||
\(911\) | 18.3695 | − | 8.84627i | 0.608608 | − | 0.293090i | −0.104083 | − | 0.994569i | \(-0.533191\pi\) |
0.712690 | + | 0.701479i | \(0.247476\pi\) | |||||||
\(912\) | −10.7849 | − | 3.32670i | −0.357123 | − | 0.110158i | ||||
\(913\) | 5.19308 | + | 69.2969i | 0.171866 | + | 2.29339i | ||||
\(914\) | 0.370059 | + | 1.62134i | 0.0122405 | + | 0.0536290i | ||||
\(915\) | 32.2667 | − | 82.2143i | 1.06671 | − | 2.71792i | ||||
\(916\) | −0.897042 | + | 11.9702i | −0.0296391 | + | 0.395506i | ||||
\(917\) | 43.4737 | − | 6.55261i | 1.43563 | − | 0.216386i | ||||
\(918\) | −1.10388 | − | 1.02425i | −0.0364333 | − | 0.0338052i | ||||
\(919\) | −5.57335 | − | 2.68398i | −0.183848 | − | 0.0885364i | 0.339696 | − | 0.940535i | \(-0.389676\pi\) |
−0.523543 | + | 0.851999i | \(0.675390\pi\) | |||||||
\(920\) | 8.80110 | − | 6.00049i | 0.290164 | − | 0.197830i | ||||
\(921\) | −1.00002 | − | 2.54801i | −0.0329517 | − | 0.0839596i | ||||
\(922\) | −17.6016 | + | 5.42937i | −0.579677 | + | 0.178807i | ||||
\(923\) | −9.01780 | + | 8.36729i | −0.296824 | + | 0.275413i | ||||
\(924\) | 31.0799 | − | 38.9729i | 1.02245 | − | 1.28211i | ||||
\(925\) | 3.16717 | − | 3.97150i | 0.104136 | − | 0.130582i | ||||
\(926\) | 9.60301 | − | 8.91029i | 0.315575 | − | 0.292810i | ||||
\(927\) | −8.86957 | + | 2.73590i | −0.291315 | + | 0.0898588i | ||||
\(928\) | −1.01479 | − | 2.58565i | −0.0333123 | − | 0.0848783i | ||||
\(929\) | 21.1067 | − | 14.3903i | 0.692488 | − | 0.472131i | −0.165227 | − | 0.986256i | \(-0.552836\pi\) |
0.857715 | + | 0.514125i | \(0.171883\pi\) | |||||||
\(930\) | −21.3804 | − | 10.2963i | −0.701092 | − | 0.337628i | ||||
\(931\) | 13.8768 | + | 12.8758i | 0.454793 | + | 0.421986i | ||||
\(932\) | 20.4368 | − | 3.08036i | 0.669431 | − | 0.100900i | ||||
\(933\) | 1.04456 | − | 13.9387i | 0.0341975 | − | 0.456334i | ||||
\(934\) | 9.71715 | − | 24.7589i | 0.317955 | − | 0.810136i | ||||
\(935\) | 3.27799 | + | 14.3618i | 0.107202 | + | 0.469682i | ||||
\(936\) | 0.556174 | + | 7.42162i | 0.0181791 | + | 0.242583i | ||||
\(937\) | 16.3624 | + | 5.04714i | 0.534537 | + | 0.164883i | 0.550260 | − | 0.834994i | \(-0.314529\pi\) |
−0.0157229 | + | 0.999876i | \(0.505005\pi\) | |||||||
\(938\) | 34.7215 | − | 16.7210i | 1.13370 | − | 0.545960i | ||||
\(939\) | 26.3076 | − | 45.5661i | 0.858515 | − | 1.48699i | ||||
\(940\) | −0.827456 | − | 1.43320i | −0.0269886 | − | 0.0467457i | ||||
\(941\) | 0.0276737 | + | 0.0188676i | 0.000902138 | + | 0.000615067i | 0.563771 | − | 0.825931i | \(-0.309350\pi\) |
−0.562869 | + | 0.826546i | \(0.690302\pi\) | |||||||
\(942\) | 1.83381 | − | 8.03444i | 0.0597487 | − | 0.261776i | ||||
\(943\) | −5.93779 | − | 0.894978i | −0.193361 | − | 0.0291445i | ||||
\(944\) | −7.02699 | − | 8.81157i | −0.228709 | − | 0.286792i | ||||
\(945\) | 26.9136 | 0.875500 | ||||||||
\(946\) | −10.5293 | − | 15.6526i | −0.342339 | − | 0.508910i | ||||
\(947\) | −26.8630 | −0.872929 | −0.436465 | − | 0.899721i | \(-0.643770\pi\) | ||||
−0.436465 | + | 0.899721i | \(0.643770\pi\) | |||||||
\(948\) | −27.9494 | − | 35.0474i | −0.907753 | − | 1.13829i | ||||
\(949\) | −20.9937 | − | 3.16429i | −0.681484 | − | 0.102717i | ||||
\(950\) | 4.16627 | − | 18.2536i | 0.135172 | − | 0.592225i | ||||
\(951\) | −30.9953 | − | 21.1323i | −1.00509 | − | 0.685261i | ||||
\(952\) | 4.23798 | + | 7.34040i | 0.137354 | + | 0.237904i | ||||
\(953\) | 17.5119 | − | 30.3315i | 0.567267 | − | 0.982535i | −0.429568 | − | 0.903034i | \(-0.641334\pi\) |
0.996835 | − | 0.0795003i | \(-0.0253325\pi\) | |||||||
\(954\) | 18.1432 | − | 8.73729i | 0.587407 | − | 0.282880i | ||||
\(955\) | −61.4714 | − | 18.9614i | −1.98917 | − | 0.613577i | ||||
\(956\) | 0.258935 | + | 3.45525i | 0.00837455 | + | 0.111751i | ||||
\(957\) | 0.996593 | + | 4.36636i | 0.0322153 | + | 0.141144i | ||||
\(958\) | 1.60171 | − | 4.08109i | 0.0517489 | − | 0.131854i | ||||
\(959\) | 1.99596 | − | 26.6343i | 0.0644530 | − | 0.860065i | ||||
\(960\) | −9.71652 | + | 1.46453i | −0.313599 | + | 0.0472675i | ||||
\(961\) | 8.80662 | + | 8.17135i | 0.284085 | + | 0.263592i | ||||
\(962\) | 0.641277 | + | 0.308823i | 0.0206756 | + | 0.00995684i | ||||
\(963\) | −16.4493 | + | 11.2150i | −0.530073 | + | 0.361398i | ||||
\(964\) | −1.64814 | − | 4.19938i | −0.0530829 | − | 0.135253i | ||||
\(965\) | −46.7252 | + | 14.4128i | −1.50414 | + | 0.463965i | ||||
\(966\) | −4.91283 | + | 4.55844i | −0.158068 | + | 0.146666i | ||||
\(967\) | 11.8980 | − | 14.9197i | 0.382615 | − | 0.479784i | −0.552811 | − | 0.833307i | \(-0.686445\pi\) |
0.935426 | + | 0.353523i | \(0.115016\pi\) | |||||||
\(968\) | −9.75531 | + | 12.2328i | −0.313547 | + | 0.393176i | ||||
\(969\) | −6.00254 | + | 5.56955i | −0.192829 | + | 0.178920i | ||||
\(970\) | −12.3213 | + | 3.80062i | −0.395613 | + | 0.122030i | ||||
\(971\) | −3.88871 | − | 9.90828i | −0.124795 | − | 0.317972i | 0.854799 | − | 0.518959i | \(-0.173680\pi\) |
−0.979594 | + | 0.200987i | \(0.935585\pi\) | |||||||
\(972\) | 22.7414 | − | 15.5048i | 0.729430 | − | 0.497317i | ||||
\(973\) | −9.07772 | − | 4.37160i | −0.291018 | − | 0.140147i | ||||
\(974\) | −1.65775 | − | 1.53817i | −0.0531178 | − | 0.0492861i | ||||
\(975\) | 24.9649 | − | 3.76285i | 0.799515 | − | 0.120508i | ||||
\(976\) | 1.15059 | − | 15.3535i | 0.0368294 | − | 0.491455i | ||||
\(977\) | 20.8191 | − | 53.0462i | 0.666062 | − | 1.69710i | −0.0497095 | − | 0.998764i | \(-0.515830\pi\) |
0.715772 | − | 0.698335i | \(-0.246075\pi\) | |||||||
\(978\) | 2.53327 | + | 11.0990i | 0.0810052 | + | 0.354907i | ||||
\(979\) | −3.44117 | − | 45.9192i | −0.109980 | − | 1.46758i | ||||
\(980\) | −26.6454 | − | 8.21901i | −0.851156 | − | 0.262547i | ||||
\(981\) | 17.3901 | − | 8.37463i | 0.555223 | − | 0.267381i | ||||
\(982\) | 3.04725 | − | 5.27799i | 0.0972417 | − | 0.168428i | ||||
\(983\) | −15.0875 | − | 26.1323i | −0.481216 | − | 0.833491i | 0.518551 | − | 0.855047i | \(-0.326472\pi\) |
−0.999768 | + | 0.0215553i | \(0.993138\pi\) | |||||||
\(984\) | 21.7178 | + | 14.8069i | 0.692337 | + | 0.472028i | ||||
\(985\) | −6.32985 | + | 27.7329i | −0.201686 | + | 0.883643i | ||||
\(986\) | −0.325841 | − | 0.0491126i | −0.0103769 | − | 0.00156406i | ||||
\(987\) | 1.50028 | + | 1.88130i | 0.0477545 | + | 0.0598823i | ||||
\(988\) | −8.43505 | −0.268355 | ||||||||
\(989\) | −3.49232 | − | 7.36911i | −0.111049 | − | 0.234324i | ||||
\(990\) | 20.5450 | 0.652962 | ||||||||
\(991\) | −11.8444 | − | 14.8524i | −0.376249 | − | 0.471802i | 0.557269 | − | 0.830332i | \(-0.311849\pi\) |
−0.933518 | + | 0.358531i | \(0.883278\pi\) | |||||||
\(992\) | −25.0174 | − | 3.77076i | −0.794302 | − | 0.119722i | ||||
\(993\) | −2.54522 | + | 11.1513i | −0.0807701 | + | 0.353877i | ||||
\(994\) | 16.1441 | + | 11.0069i | 0.512060 | + | 0.349117i | ||||
\(995\) | 10.8937 | + | 18.8685i | 0.345355 | + | 0.598172i | ||||
\(996\) | 28.4491 | − | 49.2752i | 0.901443 | − | 1.56135i | ||||
\(997\) | 17.8704 | − | 8.60594i | 0.565962 | − | 0.272553i | −0.128946 | − | 0.991652i | \(-0.541159\pi\) |
0.694908 | + | 0.719099i | \(0.255445\pi\) | |||||||
\(998\) | 18.2445 | + | 5.62767i | 0.577518 | + | 0.178141i | ||||
\(999\) | −0.111530 | − | 1.48826i | −0.00352864 | − | 0.0470865i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.u.b.52.18 | ✓ | 348 | |
43.24 | even | 21 | inner | 731.2.u.b.239.18 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.u.b.52.18 | ✓ | 348 | 1.1 | even | 1 | trivial | |
731.2.u.b.239.18 | yes | 348 | 43.24 | even | 21 | inner |